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Finding the Third Proportional to 37,833 and 58,545

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Solution

The third proportional to 37,833 and 58,545 is: 90,595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,833 : 58,545 = 58,545 : x
  2. Step 2: Convert to fraction form
    37,833/58,545 = 58,545/x
  3. Step 3: Cross multiply
    37,833x = 58,545 × 58,545
  4. Step 4: Simplify right side
    37,833x = 3,427,517,025
  5. Step 5: Solve for x
    x = 3,427,517,025/37,833
  6. Step 6: Final answer
    x = 90,595.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.