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Finding the Third Proportional to 47,348 and 70,696

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Solution

The third proportional to 47,348 and 70,696 is: 105,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,348 : 70,696 = 70,696 : x
  2. Step 2: Convert to fraction form
    47,348/70,696 = 70,696/x
  3. Step 3: Cross multiply
    47,348x = 70,696 × 70,696
  4. Step 4: Simplify right side
    47,348x = 4,997,924,416
  5. Step 5: Solve for x
    x = 4,997,924,416/47,348
  6. Step 6: Final answer
    x = 105,557.24

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1.5x scale

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.