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Finding the Third Proportional to 25,165.50 and 54,429

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Solution

The third proportional to 25,165.50 and 54,429 is: 117,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,165.50 : 54,429 = 54,429 : x
  2. Step 2: Convert to fraction form
    25,165.50/54,429 = 54,429/x
  3. Step 3: Cross multiply
    25,165.50x = 54,429 × 54,429
  4. Step 4: Simplify right side
    25,165.50x = 2,962,516,041
  5. Step 5: Solve for x
    x = 2,962,516,041/25,165.50
  6. Step 6: Final answer
    x = 117,721.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.