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Finding the Third Proportional to 32,424.75 and 47,584.13

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Solution

The third proportional to 32,424.75 and 47,584.13 is: 69,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,424.75 : 47,584.13 = 47,584.13 : x
  2. Step 2: Convert to fraction form
    32,424.75/47,584.13 = 47,584.13/x
  3. Step 3: Cross multiply
    32,424.75x = 47,584.13 × 47,584.13
  4. Step 4: Simplify right side
    32,424.75x = 2,264,248,952.02
  5. Step 5: Solve for x
    x = 2,264,248,952.02/32,424.75
  6. Step 6: Final answer
    x = 69,830.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.