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Finding the Third Proportional to 13,475 and 18,127

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Solution

The third proportional to 13,475 and 18,127 is: 24,385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475 : 18,127 = 18,127 : x
  2. Step 2: Convert to fraction form
    13,475/18,127 = 18,127/x
  3. Step 3: Cross multiply
    13,475x = 18,127 × 18,127
  4. Step 4: Simplify right side
    13,475x = 328,588,129
  5. Step 5: Solve for x
    x = 328,588,129/13,475
  6. Step 6: Final answer
    x = 24,385.02

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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.