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Finding the Third Proportional to 44,827.50 and 105,668.25

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Solution

The third proportional to 44,827.50 and 105,668.25 is: 249,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,827.50 : 105,668.25 = 105,668.25 : x
  2. Step 2: Convert to fraction form
    44,827.50/105,668.25 = 105,668.25/x
  3. Step 3: Cross multiply
    44,827.50x = 105,668.25 × 105,668.25
  4. Step 4: Simplify right side
    44,827.50x = 11,165,779,058.06
  5. Step 5: Solve for x
    x = 11,165,779,058.06/44,827.50
  6. Step 6: Final answer
    x = 249,083.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.