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Finding the Third Proportional to 37,557 and 58,133

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Solution

The third proportional to 37,557 and 58,133 is: 89,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,557 : 58,133 = 58,133 : x
  2. Step 2: Convert to fraction form
    37,557/58,133 = 58,133/x
  3. Step 3: Cross multiply
    37,557x = 58,133 × 58,133
  4. Step 4: Simplify right side
    37,557x = 3,379,445,689
  5. Step 5: Solve for x
    x = 3,379,445,689/37,557
  6. Step 6: Final answer
    x = 89,981.78

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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.