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Finding the Third Proportional to 14,263.59 and 21,397.92

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Solution

The third proportional to 14,263.59 and 21,397.92 is: 32,100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.59 : 21,397.92 = 21,397.92 : x
  2. Step 2: Convert to fraction form
    14,263.59/21,397.92 = 21,397.92/x
  3. Step 3: Cross multiply
    14,263.59x = 21,397.92 × 21,397.92
  4. Step 4: Simplify right side
    14,263.59x = 457,871,060.57
  5. Step 5: Solve for x
    x = 457,871,060.57/14,263.59
  6. Step 6: Final answer
    x = 32,100.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.