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Finding the Third Proportional to 24,294 and 32,827

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Solution

The third proportional to 24,294 and 32,827 is: 44,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294 : 32,827 = 32,827 : x
  2. Step 2: Convert to fraction form
    24,294/32,827 = 32,827/x
  3. Step 3: Cross multiply
    24,294x = 32,827 × 32,827
  4. Step 4: Simplify right side
    24,294x = 1,077,611,929
  5. Step 5: Solve for x
    x = 1,077,611,929/24,294
  6. Step 6: Final answer
    x = 44,357.12

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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.