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Finding the Third Proportional to 39,466 and 84,548

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Solution

The third proportional to 39,466 and 84,548 is: 181,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,466 : 84,548 = 84,548 : x
  2. Step 2: Convert to fraction form
    39,466/84,548 = 84,548/x
  3. Step 3: Cross multiply
    39,466x = 84,548 × 84,548
  4. Step 4: Simplify right side
    39,466x = 7,148,364,304
  5. Step 5: Solve for x
    x = 7,148,364,304/39,466
  6. Step 6: Final answer
    x = 181,127.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.