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Finding the Third Proportional to 14,543 and 31,408

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Solution

The third proportional to 14,543 and 31,408 is: 67,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543 : 31,408 = 31,408 : x
  2. Step 2: Convert to fraction form
    14,543/31,408 = 31,408/x
  3. Step 3: Cross multiply
    14,543x = 31,408 × 31,408
  4. Step 4: Simplify right side
    14,543x = 986,462,464
  5. Step 5: Solve for x
    x = 986,462,464/14,543
  6. Step 6: Final answer
    x = 67,830.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.