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Finding the Third Proportional to 35,952 and 77,518

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Solution

The third proportional to 35,952 and 77,518 is: 167,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,952 : 77,518 = 77,518 : x
  2. Step 2: Convert to fraction form
    35,952/77,518 = 77,518/x
  3. Step 3: Cross multiply
    35,952x = 77,518 × 77,518
  4. Step 4: Simplify right side
    35,952x = 6,009,040,324
  5. Step 5: Solve for x
    x = 6,009,040,324/35,952
  6. Step 6: Final answer
    x = 167,140.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.