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Finding the Third Proportional to 35,582 and 51,535

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Solution

The third proportional to 35,582 and 51,535 is: 74,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,582 : 51,535 = 51,535 : x
  2. Step 2: Convert to fraction form
    35,582/51,535 = 51,535/x
  3. Step 3: Cross multiply
    35,582x = 51,535 × 51,535
  4. Step 4: Simplify right side
    35,582x = 2,655,856,225
  5. Step 5: Solve for x
    x = 2,655,856,225/35,582
  6. Step 6: Final answer
    x = 74,640.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.