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Finding the Third Proportional to 29,551.50 and 45,424.13

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Solution

The third proportional to 29,551.50 and 45,424.13 is: 69,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,551.50 : 45,424.13 = 45,424.13 : x
  2. Step 2: Convert to fraction form
    29,551.50/45,424.13 = 45,424.13/x
  3. Step 3: Cross multiply
    29,551.50x = 45,424.13 × 45,424.13
  4. Step 4: Simplify right side
    29,551.50x = 2,063,351,132.02
  5. Step 5: Solve for x
    x = 2,063,351,132.02/29,551.50
  6. Step 6: Final answer
    x = 69,822.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.