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Finding the Third Proportional to 25,080 and 38,196

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Solution

The third proportional to 25,080 and 38,196 is: 58,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,080 : 38,196 = 38,196 : x
  2. Step 2: Convert to fraction form
    25,080/38,196 = 38,196/x
  3. Step 3: Cross multiply
    25,080x = 38,196 × 38,196
  4. Step 4: Simplify right side
    25,080x = 1,458,934,416
  5. Step 5: Solve for x
    x = 1,458,934,416/25,080
  6. Step 6: Final answer
    x = 58,171.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.