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Finding the Third Proportional to 41,724 and 64,565

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Solution

The third proportional to 41,724 and 64,565 is: 99,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,724 : 64,565 = 64,565 : x
  2. Step 2: Convert to fraction form
    41,724/64,565 = 64,565/x
  3. Step 3: Cross multiply
    41,724x = 64,565 × 64,565
  4. Step 4: Simplify right side
    41,724x = 4,168,639,225
  5. Step 5: Solve for x
    x = 4,168,639,225/41,724
  6. Step 6: Final answer
    x = 99,909.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.