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Finding the Third Proportional to 21,597.47 and 32,229.77

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Solution

The third proportional to 21,597.47 and 32,229.77 is: 48,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597.47 : 32,229.77 = 32,229.77 : x
  2. Step 2: Convert to fraction form
    21,597.47/32,229.77 = 32,229.77/x
  3. Step 3: Cross multiply
    21,597.47x = 32,229.77 × 32,229.77
  4. Step 4: Simplify right side
    21,597.47x = 1,038,758,295.83
  5. Step 5: Solve for x
    x = 1,038,758,295.83/21,597.47
  6. Step 6: Final answer
    x = 48,096.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.