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Finding the Third Proportional to 43,184.25 and 63,540

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Solution

The third proportional to 43,184.25 and 63,540 is: 93,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,184.25 : 63,540 = 63,540 : x
  2. Step 2: Convert to fraction form
    43,184.25/63,540 = 63,540/x
  3. Step 3: Cross multiply
    43,184.25x = 63,540 × 63,540
  4. Step 4: Simplify right side
    43,184.25x = 4,037,331,600
  5. Step 5: Solve for x
    x = 4,037,331,600/43,184.25
  6. Step 6: Final answer
    x = 93,490.84

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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.