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Finding the Third Proportional to 25,479 and 54,445.50

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Solution

The third proportional to 25,479 and 54,445.50 is: 116,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,479 : 54,445.50 = 54,445.50 : x
  2. Step 2: Convert to fraction form
    25,479/54,445.50 = 54,445.50/x
  3. Step 3: Cross multiply
    25,479x = 54,445.50 × 54,445.50
  4. Step 4: Simplify right side
    25,479x = 2,964,312,470.25
  5. Step 5: Solve for x
    x = 2,964,312,470.25/25,479
  6. Step 6: Final answer
    x = 116,343.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.