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Finding the Third Proportional to 25,140.80 and 37,276.17

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Solution

The third proportional to 25,140.80 and 37,276.17 is: 55,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,140.80 : 37,276.17 = 37,276.17 : x
  2. Step 2: Convert to fraction form
    25,140.80/37,276.17 = 37,276.17/x
  3. Step 3: Cross multiply
    25,140.80x = 37,276.17 × 37,276.17
  4. Step 4: Simplify right side
    25,140.80x = 1,389,512,989.65
  5. Step 5: Solve for x
    x = 1,389,512,989.65/25,140.80
  6. Step 6: Final answer
    x = 55,269.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.