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Finding the Third Proportional to 12,543.75 and 16,737.75

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Solution

The third proportional to 12,543.75 and 16,737.75 is: 22,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.75 : 16,737.75 = 16,737.75 : x
  2. Step 2: Convert to fraction form
    12,543.75/16,737.75 = 16,737.75/x
  3. Step 3: Cross multiply
    12,543.75x = 16,737.75 × 16,737.75
  4. Step 4: Simplify right side
    12,543.75x = 280,152,275.06
  5. Step 5: Solve for x
    x = 280,152,275.06/12,543.75
  6. Step 6: Final answer
    x = 22,334.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.