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Finding the Third Proportional to 47,342 and 64,101

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Solution

The third proportional to 47,342 and 64,101 is: 86,792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,342 : 64,101 = 64,101 : x
  2. Step 2: Convert to fraction form
    47,342/64,101 = 64,101/x
  3. Step 3: Cross multiply
    47,342x = 64,101 × 64,101
  4. Step 4: Simplify right side
    47,342x = 4,108,938,201
  5. Step 5: Solve for x
    x = 4,108,938,201/47,342
  6. Step 6: Final answer
    x = 86,792.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.