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Finding the Third Proportional to 43,549 and 63,644

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Solution

The third proportional to 43,549 and 63,644 is: 93,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,549 : 63,644 = 63,644 : x
  2. Step 2: Convert to fraction form
    43,549/63,644 = 63,644/x
  3. Step 3: Cross multiply
    43,549x = 63,644 × 63,644
  4. Step 4: Simplify right side
    43,549x = 4,050,558,736
  5. Step 5: Solve for x
    x = 4,050,558,736/43,549
  6. Step 6: Final answer
    x = 93,011.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.