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Finding the Third Proportional to 13,342 and 14,746

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Solution

The third proportional to 13,342 and 14,746 is: 16,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,342 : 14,746 = 14,746 : x
  2. Step 2: Convert to fraction form
    13,342/14,746 = 14,746/x
  3. Step 3: Cross multiply
    13,342x = 14,746 × 14,746
  4. Step 4: Simplify right side
    13,342x = 217,444,516
  5. Step 5: Solve for x
    x = 217,444,516/13,342
  6. Step 6: Final answer
    x = 16,297.75

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.