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Finding the Third Proportional to 35,544 and 77,784

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Solution

The third proportional to 35,544 and 77,784 is: 170,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,544 : 77,784 = 77,784 : x
  2. Step 2: Convert to fraction form
    35,544/77,784 = 77,784/x
  3. Step 3: Cross multiply
    35,544x = 77,784 × 77,784
  4. Step 4: Simplify right side
    35,544x = 6,050,350,656
  5. Step 5: Solve for x
    x = 6,050,350,656/35,544
  6. Step 6: Final answer
    x = 170,221.43

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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.