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Finding the Third Proportional to 22,964 and 49,432

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Solution

The third proportional to 22,964 and 49,432 is: 106,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964 : 49,432 = 49,432 : x
  2. Step 2: Convert to fraction form
    22,964/49,432 = 49,432/x
  3. Step 3: Cross multiply
    22,964x = 49,432 × 49,432
  4. Step 4: Simplify right side
    22,964x = 2,443,522,624
  5. Step 5: Solve for x
    x = 2,443,522,624/22,964
  6. Step 6: Final answer
    x = 106,406.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.