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Finding the Third Proportional to 24,880 and 34,784

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Solution

The third proportional to 24,880 and 34,784 is: 48,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,880 : 34,784 = 34,784 : x
  2. Step 2: Convert to fraction form
    24,880/34,784 = 34,784/x
  3. Step 3: Cross multiply
    24,880x = 34,784 × 34,784
  4. Step 4: Simplify right side
    24,880x = 1,209,926,656
  5. Step 5: Solve for x
    x = 1,209,926,656/24,880
  6. Step 6: Final answer
    x = 48,630.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.