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Finding the Third Proportional to 9,499 and 20,294

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Solution

The third proportional to 9,499 and 20,294 is: 43,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499 : 20,294 = 20,294 : x
  2. Step 2: Convert to fraction form
    9,499/20,294 = 20,294/x
  3. Step 3: Cross multiply
    9,499x = 20,294 × 20,294
  4. Step 4: Simplify right side
    9,499x = 411,846,436
  5. Step 5: Solve for x
    x = 411,846,436/9,499
  6. Step 6: Final answer
    x = 43,356.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.