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Finding the Third Proportional to 47,324 and 71,332

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Solution

The third proportional to 47,324 and 71,332 is: 107,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,324 : 71,332 = 71,332 : x
  2. Step 2: Convert to fraction form
    47,324/71,332 = 71,332/x
  3. Step 3: Cross multiply
    47,324x = 71,332 × 71,332
  4. Step 4: Simplify right side
    47,324x = 5,088,254,224
  5. Step 5: Solve for x
    x = 5,088,254,224/47,324
  6. Step 6: Final answer
    x = 107,519.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.