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Finding the Third Proportional to 35,959.50 and 54,441

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Solution

The third proportional to 35,959.50 and 54,441 is: 82,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,959.50 : 54,441 = 54,441 : x
  2. Step 2: Convert to fraction form
    35,959.50/54,441 = 54,441/x
  3. Step 3: Cross multiply
    35,959.50x = 54,441 × 54,441
  4. Step 4: Simplify right side
    35,959.50x = 2,963,822,481
  5. Step 5: Solve for x
    x = 2,963,822,481/35,959.50
  6. Step 6: Final answer
    x = 82,421.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.