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Finding the Third Proportional to 35,510 and 77,702

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Solution

The third proportional to 35,510 and 77,702 is: 170,025.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,510 : 77,702 = 77,702 : x
  2. Step 2: Convert to fraction form
    35,510/77,702 = 77,702/x
  3. Step 3: Cross multiply
    35,510x = 77,702 × 77,702
  4. Step 4: Simplify right side
    35,510x = 6,037,600,804
  5. Step 5: Solve for x
    x = 6,037,600,804/35,510
  6. Step 6: Final answer
    x = 170,025.37

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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.