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Finding the Third Proportional to 29,557.13 and 45,262.13

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Solution

The third proportional to 29,557.13 and 45,262.13 is: 69,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,557.13 : 45,262.13 = 45,262.13 : x
  2. Step 2: Convert to fraction form
    29,557.13/45,262.13 = 45,262.13/x
  3. Step 3: Cross multiply
    29,557.13x = 45,262.13 × 45,262.13
  4. Step 4: Simplify right side
    29,557.13x = 2,048,659,959.52
  5. Step 5: Solve for x
    x = 2,048,659,959.52/29,557.13
  6. Step 6: Final answer
    x = 69,311.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.