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Finding the Third Proportional to 23,354 and 31,466

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Solution

The third proportional to 23,354 and 31,466 is: 42,395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354 : 31,466 = 31,466 : x
  2. Step 2: Convert to fraction form
    23,354/31,466 = 31,466/x
  3. Step 3: Cross multiply
    23,354x = 31,466 × 31,466
  4. Step 4: Simplify right side
    23,354x = 990,109,156
  5. Step 5: Solve for x
    x = 990,109,156/23,354
  6. Step 6: Final answer
    x = 42,395.70

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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.