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Finding the Third Proportional to 35,498 and 77,764

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Solution

The third proportional to 35,498 and 77,764 is: 170,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,498 : 77,764 = 77,764 : x
  2. Step 2: Convert to fraction form
    35,498/77,764 = 77,764/x
  3. Step 3: Cross multiply
    35,498x = 77,764 × 77,764
  4. Step 4: Simplify right side
    35,498x = 6,047,239,696
  5. Step 5: Solve for x
    x = 6,047,239,696/35,498
  6. Step 6: Final answer
    x = 170,354.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.