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Finding the Third Proportional to 25,218.84 and 37,862.44

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Solution

The third proportional to 25,218.84 and 37,862.44 is: 56,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,218.84 : 37,862.44 = 37,862.44 : x
  2. Step 2: Convert to fraction form
    25,218.84/37,862.44 = 37,862.44/x
  3. Step 3: Cross multiply
    25,218.84x = 37,862.44 × 37,862.44
  4. Step 4: Simplify right side
    25,218.84x = 1,433,564,173.44
  5. Step 5: Solve for x
    x = 1,433,564,173.44/25,218.84
  6. Step 6: Final answer
    x = 56,844.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.