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Finding the Third Proportional to 9,748 and 15,191

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Solution

The third proportional to 9,748 and 15,191 is: 23,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748 : 15,191 = 15,191 : x
  2. Step 2: Convert to fraction form
    9,748/15,191 = 15,191/x
  3. Step 3: Cross multiply
    9,748x = 15,191 × 15,191
  4. Step 4: Simplify right side
    9,748x = 230,766,481
  5. Step 5: Solve for x
    x = 230,766,481/9,748
  6. Step 6: Final answer
    x = 23,673.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.