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Finding the Third Proportional to 15,386 and 17,600

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Solution

The third proportional to 15,386 and 17,600 is: 20,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,386 : 17,600 = 17,600 : x
  2. Step 2: Convert to fraction form
    15,386/17,600 = 17,600/x
  3. Step 3: Cross multiply
    15,386x = 17,600 × 17,600
  4. Step 4: Simplify right side
    15,386x = 309,760,000
  5. Step 5: Solve for x
    x = 309,760,000/15,386
  6. Step 6: Final answer
    x = 20,132.59

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.