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Finding the Third Proportional to 29,010.75 and 39,141.75

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Solution

The third proportional to 29,010.75 and 39,141.75 is: 52,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,010.75 : 39,141.75 = 39,141.75 : x
  2. Step 2: Convert to fraction form
    29,010.75/39,141.75 = 39,141.75/x
  3. Step 3: Cross multiply
    29,010.75x = 39,141.75 × 39,141.75
  4. Step 4: Simplify right side
    29,010.75x = 1,532,076,593.06
  5. Step 5: Solve for x
    x = 1,532,076,593.06/29,010.75
  6. Step 6: Final answer
    x = 52,810.65

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.