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Finding the Third Proportional to 37,130 and 57,545

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Solution

The third proportional to 37,130 and 57,545 is: 89,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,130 : 57,545 = 57,545 : x
  2. Step 2: Convert to fraction form
    37,130/57,545 = 57,545/x
  3. Step 3: Cross multiply
    37,130x = 57,545 × 57,545
  4. Step 4: Simplify right side
    37,130x = 3,311,427,025
  5. Step 5: Solve for x
    x = 3,311,427,025/37,130
  6. Step 6: Final answer
    x = 89,184.68

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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.