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Finding the Third Proportional to 9,906 and 23,370

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Solution

The third proportional to 9,906 and 23,370 is: 55,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906 : 23,370 = 23,370 : x
  2. Step 2: Convert to fraction form
    9,906/23,370 = 23,370/x
  3. Step 3: Cross multiply
    9,906x = 23,370 × 23,370
  4. Step 4: Simplify right side
    9,906x = 546,156,900
  5. Step 5: Solve for x
    x = 546,156,900/9,906
  6. Step 6: Final answer
    x = 55,133.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.