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Finding the Third Proportional to 14,408 and 31,484

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Solution

The third proportional to 14,408 and 31,484 is: 68,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408 : 31,484 = 31,484 : x
  2. Step 2: Convert to fraction form
    14,408/31,484 = 31,484/x
  3. Step 3: Cross multiply
    14,408x = 31,484 × 31,484
  4. Step 4: Simplify right side
    14,408x = 991,242,256
  5. Step 5: Solve for x
    x = 991,242,256/14,408
  6. Step 6: Final answer
    x = 68,798.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.