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Finding the Third Proportional to 19,052 and 29,668.25

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Solution

The third proportional to 19,052 and 29,668.25 is: 46,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,052 : 29,668.25 = 29,668.25 : x
  2. Step 2: Convert to fraction form
    19,052/29,668.25 = 29,668.25/x
  3. Step 3: Cross multiply
    19,052x = 29,668.25 × 29,668.25
  4. Step 4: Simplify right side
    19,052x = 880,205,058.06
  5. Step 5: Solve for x
    x = 880,205,058.06/19,052
  6. Step 6: Final answer
    x = 46,200.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.