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Finding the Third Proportional to 48,394 and 72,070

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Solution

The third proportional to 48,394 and 72,070 is: 107,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,394 : 72,070 = 72,070 : x
  2. Step 2: Convert to fraction form
    48,394/72,070 = 72,070/x
  3. Step 3: Cross multiply
    48,394x = 72,070 × 72,070
  4. Step 4: Simplify right side
    48,394x = 5,194,084,900
  5. Step 5: Solve for x
    x = 5,194,084,900/48,394
  6. Step 6: Final answer
    x = 107,329.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.