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Finding the Third Proportional to 29,011.92 and 39,141.98

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Solution

The third proportional to 29,011.92 and 39,141.98 is: 52,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,011.92 : 39,141.98 = 39,141.98 : x
  2. Step 2: Convert to fraction form
    29,011.92/39,141.98 = 39,141.98/x
  3. Step 3: Cross multiply
    29,011.92x = 39,141.98 × 39,141.98
  4. Step 4: Simplify right side
    29,011.92x = 1,532,094,940.81
  5. Step 5: Solve for x
    x = 1,532,094,940.81/29,011.92
  6. Step 6: Final answer
    x = 52,809.15

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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.