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Finding the Third Proportional to 34,904 and 77,548

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Solution

The third proportional to 34,904 and 77,548 is: 172,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,904 : 77,548 = 77,548 : x
  2. Step 2: Convert to fraction form
    34,904/77,548 = 77,548/x
  3. Step 3: Cross multiply
    34,904x = 77,548 × 77,548
  4. Step 4: Simplify right side
    34,904x = 6,013,692,304
  5. Step 5: Solve for x
    x = 6,013,692,304/34,904
  6. Step 6: Final answer
    x = 172,292.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.