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Finding the Third Proportional to 24,599 and 34,518

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Solution

The third proportional to 24,599 and 34,518 is: 48,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,599 : 34,518 = 34,518 : x
  2. Step 2: Convert to fraction form
    24,599/34,518 = 34,518/x
  3. Step 3: Cross multiply
    24,599x = 34,518 × 34,518
  4. Step 4: Simplify right side
    24,599x = 1,191,492,324
  5. Step 5: Solve for x
    x = 1,191,492,324/24,599
  6. Step 6: Final answer
    x = 48,436.62

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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.