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Finding the Third Proportional to 35,780.06 and 77,711.06

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Solution

The third proportional to 35,780.06 and 77,711.06 is: 168,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780.06 : 77,711.06 = 77,711.06 : x
  2. Step 2: Convert to fraction form
    35,780.06/77,711.06 = 77,711.06/x
  3. Step 3: Cross multiply
    35,780.06x = 77,711.06 × 77,711.06
  4. Step 4: Simplify right side
    35,780.06x = 6,039,009,234.88
  5. Step 5: Solve for x
    x = 6,039,009,234.88/35,780.06
  6. Step 6: Final answer
    x = 168,781.41

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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.