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Finding the Third Proportional to 23,396 and 31,516

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Solution

The third proportional to 23,396 and 31,516 is: 42,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,396 : 31,516 = 31,516 : x
  2. Step 2: Convert to fraction form
    23,396/31,516 = 31,516/x
  3. Step 3: Cross multiply
    23,396x = 31,516 × 31,516
  4. Step 4: Simplify right side
    23,396x = 993,258,256
  5. Step 5: Solve for x
    x = 993,258,256/23,396
  6. Step 6: Final answer
    x = 42,454.19

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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.