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Finding the Third Proportional to 19,470 and 44,139

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Solution

The third proportional to 19,470 and 44,139 is: 100,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,470 : 44,139 = 44,139 : x
  2. Step 2: Convert to fraction form
    19,470/44,139 = 44,139/x
  3. Step 3: Cross multiply
    19,470x = 44,139 × 44,139
  4. Step 4: Simplify right side
    19,470x = 1,948,251,321
  5. Step 5: Solve for x
    x = 1,948,251,321/19,470
  6. Step 6: Final answer
    x = 100,064.27

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.