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Finding the Third Proportional to 10,752 and 15,834

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Solution

The third proportional to 10,752 and 15,834 is: 23,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752 : 15,834 = 15,834 : x
  2. Step 2: Convert to fraction form
    10,752/15,834 = 15,834/x
  3. Step 3: Cross multiply
    10,752x = 15,834 × 15,834
  4. Step 4: Simplify right side
    10,752x = 250,715,556
  5. Step 5: Solve for x
    x = 250,715,556/10,752
  6. Step 6: Final answer
    x = 23,318.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.