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Finding the Third Proportional to 10,378 and 22,514

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Solution

The third proportional to 10,378 and 22,514 is: 48,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378 : 22,514 = 22,514 : x
  2. Step 2: Convert to fraction form
    10,378/22,514 = 22,514/x
  3. Step 3: Cross multiply
    10,378x = 22,514 × 22,514
  4. Step 4: Simplify right side
    10,378x = 506,880,196
  5. Step 5: Solve for x
    x = 506,880,196/10,378
  6. Step 6: Final answer
    x = 48,841.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.