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Finding the Third Proportional to 35,870 and 55,317

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Solution

The third proportional to 35,870 and 55,317 is: 85,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,870 : 55,317 = 55,317 : x
  2. Step 2: Convert to fraction form
    35,870/55,317 = 55,317/x
  3. Step 3: Cross multiply
    35,870x = 55,317 × 55,317
  4. Step 4: Simplify right side
    35,870x = 3,059,970,489
  5. Step 5: Solve for x
    x = 3,059,970,489/35,870
  6. Step 6: Final answer
    x = 85,307.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.