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Finding the Third Proportional to 25,031.53 and 54,678.80

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Solution

The third proportional to 25,031.53 and 54,678.80 is: 119,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,031.53 : 54,678.80 = 54,678.80 : x
  2. Step 2: Convert to fraction form
    25,031.53/54,678.80 = 54,678.80/x
  3. Step 3: Cross multiply
    25,031.53x = 54,678.80 × 54,678.80
  4. Step 4: Simplify right side
    25,031.53x = 2,989,770,827.70
  5. Step 5: Solve for x
    x = 2,989,770,827.70/25,031.53
  6. Step 6: Final answer
    x = 119,440.19

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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.