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Finding the Third Proportional to 13,862.25 and 29,567.25

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Solution

The third proportional to 13,862.25 and 29,567.25 is: 63,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.25 : 29,567.25 = 29,567.25 : x
  2. Step 2: Convert to fraction form
    13,862.25/29,567.25 = 29,567.25/x
  3. Step 3: Cross multiply
    13,862.25x = 29,567.25 × 29,567.25
  4. Step 4: Simplify right side
    13,862.25x = 874,222,272.56
  5. Step 5: Solve for x
    x = 874,222,272.56/13,862.25
  6. Step 6: Final answer
    x = 63,064.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.