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Finding the Third Proportional to 29,009.81 and 39,140.72

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Solution

The third proportional to 29,009.81 and 39,140.72 is: 52,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,009.81 : 39,140.72 = 39,140.72 : x
  2. Step 2: Convert to fraction form
    29,009.81/39,140.72 = 39,140.72/x
  3. Step 3: Cross multiply
    29,009.81x = 39,140.72 × 39,140.72
  4. Step 4: Simplify right side
    29,009.81x = 1,531,995,864.27
  5. Step 5: Solve for x
    x = 1,531,995,864.27/29,009.81
  6. Step 6: Final answer
    x = 52,809.57

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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.