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Finding the Third Proportional to 25,900 and 38,748

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Solution

The third proportional to 25,900 and 38,748 is: 57,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900 : 38,748 = 38,748 : x
  2. Step 2: Convert to fraction form
    25,900/38,748 = 38,748/x
  3. Step 3: Cross multiply
    25,900x = 38,748 × 38,748
  4. Step 4: Simplify right side
    25,900x = 1,501,407,504
  5. Step 5: Solve for x
    x = 1,501,407,504/25,900
  6. Step 6: Final answer
    x = 57,969.40

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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.