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Finding the Third Proportional to 24,270 and 32,784

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Solution

The third proportional to 24,270 and 32,784 is: 44,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,270 : 32,784 = 32,784 : x
  2. Step 2: Convert to fraction form
    24,270/32,784 = 32,784/x
  3. Step 3: Cross multiply
    24,270x = 32,784 × 32,784
  4. Step 4: Simplify right side
    24,270x = 1,074,790,656
  5. Step 5: Solve for x
    x = 1,074,790,656/24,270
  6. Step 6: Final answer
    x = 44,284.74

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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.