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Finding the Third Proportional to 10,428 and 22,434

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Solution

The third proportional to 10,428 and 22,434 is: 48,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428 : 22,434 = 22,434 : x
  2. Step 2: Convert to fraction form
    10,428/22,434 = 22,434/x
  3. Step 3: Cross multiply
    10,428x = 22,434 × 22,434
  4. Step 4: Simplify right side
    10,428x = 503,284,356
  5. Step 5: Solve for x
    x = 503,284,356/10,428
  6. Step 6: Final answer
    x = 48,262.79

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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.