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Finding the Third Proportional to 29,562.47 and 45,901.69

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Solution

The third proportional to 29,562.47 and 45,901.69 is: 71,271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,562.47 : 45,901.69 = 45,901.69 : x
  2. Step 2: Convert to fraction form
    29,562.47/45,901.69 = 45,901.69/x
  3. Step 3: Cross multiply
    29,562.47x = 45,901.69 × 45,901.69
  4. Step 4: Simplify right side
    29,562.47x = 2,106,964,915.35
  5. Step 5: Solve for x
    x = 2,106,964,915.35/29,562.47
  6. Step 6: Final answer
    x = 71,271.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.