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Finding the Third Proportional to 24,291 and 35,564

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Solution

The third proportional to 24,291 and 35,564 is: 52,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291 : 35,564 = 35,564 : x
  2. Step 2: Convert to fraction form
    24,291/35,564 = 35,564/x
  3. Step 3: Cross multiply
    24,291x = 35,564 × 35,564
  4. Step 4: Simplify right side
    24,291x = 1,264,798,096
  5. Step 5: Solve for x
    x = 1,264,798,096/24,291
  6. Step 6: Final answer
    x = 52,068.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.