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Finding the Third Proportional to 13,710.38 and 29,606.63

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Solution

The third proportional to 13,710.38 and 29,606.63 is: 63,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.38 : 29,606.63 = 29,606.63 : x
  2. Step 2: Convert to fraction form
    13,710.38/29,606.63 = 29,606.63/x
  3. Step 3: Cross multiply
    13,710.38x = 29,606.63 × 29,606.63
  4. Step 4: Simplify right side
    13,710.38x = 876,552,243.89
  5. Step 5: Solve for x
    x = 876,552,243.89/13,710.38
  6. Step 6: Final answer
    x = 63,933.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.