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Finding the Third Proportional to 24,294 and 51,484

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Solution

The third proportional to 24,294 and 51,484 is: 109,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294 : 51,484 = 51,484 : x
  2. Step 2: Convert to fraction form
    24,294/51,484 = 51,484/x
  3. Step 3: Cross multiply
    24,294x = 51,484 × 51,484
  4. Step 4: Simplify right side
    24,294x = 2,650,602,256
  5. Step 5: Solve for x
    x = 2,650,602,256/24,294
  6. Step 6: Final answer
    x = 109,105.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.