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Finding the Third Proportional to 47,683 and 75,488

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Solution

The third proportional to 47,683 and 75,488 is: 119,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,683 : 75,488 = 75,488 : x
  2. Step 2: Convert to fraction form
    47,683/75,488 = 75,488/x
  3. Step 3: Cross multiply
    47,683x = 75,488 × 75,488
  4. Step 4: Simplify right side
    47,683x = 5,698,438,144
  5. Step 5: Solve for x
    x = 5,698,438,144/47,683
  6. Step 6: Final answer
    x = 119,506.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.