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Finding the Third Proportional to 35,510 and 77,701

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Solution

The third proportional to 35,510 and 77,701 is: 170,020.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,510 : 77,701 = 77,701 : x
  2. Step 2: Convert to fraction form
    35,510/77,701 = 77,701/x
  3. Step 3: Cross multiply
    35,510x = 77,701 × 77,701
  4. Step 4: Simplify right side
    35,510x = 6,037,445,401
  5. Step 5: Solve for x
    x = 6,037,445,401/35,510
  6. Step 6: Final answer
    x = 170,020.99

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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.