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Finding the Third Proportional to 13,668.75 and 17,948.25

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Solution

The third proportional to 13,668.75 and 17,948.25 is: 23,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.75 : 17,948.25 = 17,948.25 : x
  2. Step 2: Convert to fraction form
    13,668.75/17,948.25 = 17,948.25/x
  3. Step 3: Cross multiply
    13,668.75x = 17,948.25 × 17,948.25
  4. Step 4: Simplify right side
    13,668.75x = 322,139,678.06
  5. Step 5: Solve for x
    x = 322,139,678.06/13,668.75
  6. Step 6: Final answer
    x = 23,567.60

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.