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Finding the Third Proportional to 25,938 and 37,987

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Solution

The third proportional to 25,938 and 37,987 is: 55,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,938 : 37,987 = 37,987 : x
  2. Step 2: Convert to fraction form
    25,938/37,987 = 37,987/x
  3. Step 3: Cross multiply
    25,938x = 37,987 × 37,987
  4. Step 4: Simplify right side
    25,938x = 1,443,012,169
  5. Step 5: Solve for x
    x = 1,443,012,169/25,938
  6. Step 6: Final answer
    x = 55,633.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.