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Finding the Third Proportional to 10,574 and 15,830

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Solution

The third proportional to 10,574 and 15,830 is: 23,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574 : 15,830 = 15,830 : x
  2. Step 2: Convert to fraction form
    10,574/15,830 = 15,830/x
  3. Step 3: Cross multiply
    10,574x = 15,830 × 15,830
  4. Step 4: Simplify right side
    10,574x = 250,588,900
  5. Step 5: Solve for x
    x = 250,588,900/10,574
  6. Step 6: Final answer
    x = 23,698.59

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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.