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Finding the Third Proportional to 35,352 and 49,552

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Solution

The third proportional to 35,352 and 49,552 is: 69,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,352 : 49,552 = 49,552 : x
  2. Step 2: Convert to fraction form
    35,352/49,552 = 49,552/x
  3. Step 3: Cross multiply
    35,352x = 49,552 × 49,552
  4. Step 4: Simplify right side
    35,352x = 2,455,400,704
  5. Step 5: Solve for x
    x = 2,455,400,704/35,352
  6. Step 6: Final answer
    x = 69,455.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.