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Finding the Third Proportional to 47,520 and 69,552

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Solution

The third proportional to 47,520 and 69,552 is: 101,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,520 : 69,552 = 69,552 : x
  2. Step 2: Convert to fraction form
    47,520/69,552 = 69,552/x
  3. Step 3: Cross multiply
    47,520x = 69,552 × 69,552
  4. Step 4: Simplify right side
    47,520x = 4,837,480,704
  5. Step 5: Solve for x
    x = 4,837,480,704/47,520
  6. Step 6: Final answer
    x = 101,798.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.