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Finding the Third Proportional to 25,311 and 54,508.50

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Solution

The third proportional to 25,311 and 54,508.50 is: 117,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,311 : 54,508.50 = 54,508.50 : x
  2. Step 2: Convert to fraction form
    25,311/54,508.50 = 54,508.50/x
  3. Step 3: Cross multiply
    25,311x = 54,508.50 × 54,508.50
  4. Step 4: Simplify right side
    25,311x = 2,971,176,572.25
  5. Step 5: Solve for x
    x = 2,971,176,572.25/25,311
  6. Step 6: Final answer
    x = 117,386.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.