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Finding the Third Proportional to 25,878.66 and 38,948.34

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Solution

The third proportional to 25,878.66 and 38,948.34 is: 58,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.66 : 38,948.34 = 38,948.34 : x
  2. Step 2: Convert to fraction form
    25,878.66/38,948.34 = 38,948.34/x
  3. Step 3: Cross multiply
    25,878.66x = 38,948.34 × 38,948.34
  4. Step 4: Simplify right side
    25,878.66x = 1,516,973,480.87
  5. Step 5: Solve for x
    x = 1,516,973,480.87/25,878.66
  6. Step 6: Final answer
    x = 58,618.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.