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Finding the Third Proportional to 35,782 and 77,710

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Solution

The third proportional to 35,782 and 77,710 is: 168,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782 : 77,710 = 77,710 : x
  2. Step 2: Convert to fraction form
    35,782/77,710 = 77,710/x
  3. Step 3: Cross multiply
    35,782x = 77,710 × 77,710
  4. Step 4: Simplify right side
    35,782x = 6,038,844,100
  5. Step 5: Solve for x
    x = 6,038,844,100/35,782
  6. Step 6: Final answer
    x = 168,767.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.