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Finding the Third Proportional to 40,700 and 84,518

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Solution

The third proportional to 40,700 and 84,518 is: 175,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,700 : 84,518 = 84,518 : x
  2. Step 2: Convert to fraction form
    40,700/84,518 = 84,518/x
  3. Step 3: Cross multiply
    40,700x = 84,518 × 84,518
  4. Step 4: Simplify right side
    40,700x = 7,143,292,324
  5. Step 5: Solve for x
    x = 7,143,292,324/40,700
  6. Step 6: Final answer
    x = 175,510.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.