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Finding the Third Proportional to 10,319 and 15,479

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Solution

The third proportional to 10,319 and 15,479 is: 23,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319 : 15,479 = 15,479 : x
  2. Step 2: Convert to fraction form
    10,319/15,479 = 15,479/x
  3. Step 3: Cross multiply
    10,319x = 15,479 × 15,479
  4. Step 4: Simplify right side
    10,319x = 239,599,441
  5. Step 5: Solve for x
    x = 239,599,441/10,319
  6. Step 6: Final answer
    x = 23,219.25

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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.