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Finding the Third Proportional to 40,937 and 63,215

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Solution

The third proportional to 40,937 and 63,215 is: 97,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,937 : 63,215 = 63,215 : x
  2. Step 2: Convert to fraction form
    40,937/63,215 = 63,215/x
  3. Step 3: Cross multiply
    40,937x = 63,215 × 63,215
  4. Step 4: Simplify right side
    40,937x = 3,996,136,225
  5. Step 5: Solve for x
    x = 3,996,136,225/40,937
  6. Step 6: Final answer
    x = 97,616.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.