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Finding the Third Proportional to 25,290 and 55,057.50

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Solution

The third proportional to 25,290 and 55,057.50 is: 119,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,290 : 55,057.50 = 55,057.50 : x
  2. Step 2: Convert to fraction form
    25,290/55,057.50 = 55,057.50/x
  3. Step 3: Cross multiply
    25,290x = 55,057.50 × 55,057.50
  4. Step 4: Simplify right side
    25,290x = 3,031,328,306.25
  5. Step 5: Solve for x
    x = 3,031,328,306.25/25,290
  6. Step 6: Final answer
    x = 119,862.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.