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Finding the Third Proportional to 14,110 and 19,746

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Solution

The third proportional to 14,110 and 19,746 is: 27,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110 : 19,746 = 19,746 : x
  2. Step 2: Convert to fraction form
    14,110/19,746 = 19,746/x
  3. Step 3: Cross multiply
    14,110x = 19,746 × 19,746
  4. Step 4: Simplify right side
    14,110x = 389,904,516
  5. Step 5: Solve for x
    x = 389,904,516/14,110
  6. Step 6: Final answer
    x = 27,633.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.