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Finding the Third Proportional to 21,425.77 and 32,565.80

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Solution

The third proportional to 21,425.77 and 32,565.80 is: 49,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,425.77 : 32,565.80 = 32,565.80 : x
  2. Step 2: Convert to fraction form
    21,425.77/32,565.80 = 32,565.80/x
  3. Step 3: Cross multiply
    21,425.77x = 32,565.80 × 32,565.80
  4. Step 4: Simplify right side
    21,425.77x = 1,060,531,126.10
  5. Step 5: Solve for x
    x = 1,060,531,126.10/21,425.77
  6. Step 6: Final answer
    x = 49,497.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.