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Finding the Third Proportional to 35,906 and 77,548

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Solution

The third proportional to 35,906 and 77,548 is: 167,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,906 : 77,548 = 77,548 : x
  2. Step 2: Convert to fraction form
    35,906/77,548 = 77,548/x
  3. Step 3: Cross multiply
    35,906x = 77,548 × 77,548
  4. Step 4: Simplify right side
    35,906x = 6,013,692,304
  5. Step 5: Solve for x
    x = 6,013,692,304/35,906
  6. Step 6: Final answer
    x = 167,484.33

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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.