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Finding the Third Proportional to 23,373 and 31,491

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Solution

The third proportional to 23,373 and 31,491 is: 42,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,373 : 31,491 = 31,491 : x
  2. Step 2: Convert to fraction form
    23,373/31,491 = 31,491/x
  3. Step 3: Cross multiply
    23,373x = 31,491 × 31,491
  4. Step 4: Simplify right side
    23,373x = 991,683,081
  5. Step 5: Solve for x
    x = 991,683,081/23,373
  6. Step 6: Final answer
    x = 42,428.57

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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.