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Finding the Third Proportional to 24,306 and 32,841

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Solution

The third proportional to 24,306 and 32,841 is: 44,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306 : 32,841 = 32,841 : x
  2. Step 2: Convert to fraction form
    24,306/32,841 = 32,841/x
  3. Step 3: Cross multiply
    24,306x = 32,841 × 32,841
  4. Step 4: Simplify right side
    24,306x = 1,078,531,281
  5. Step 5: Solve for x
    x = 1,078,531,281/24,306
  6. Step 6: Final answer
    x = 44,373.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.