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Finding the Third Proportional to 13,143 and 28,371

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Solution

The third proportional to 13,143 and 28,371 is: 61,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143 : 28,371 = 28,371 : x
  2. Step 2: Convert to fraction form
    13,143/28,371 = 28,371/x
  3. Step 3: Cross multiply
    13,143x = 28,371 × 28,371
  4. Step 4: Simplify right side
    13,143x = 804,913,641
  5. Step 5: Solve for x
    x = 804,913,641/13,143
  6. Step 6: Final answer
    x = 61,242.76

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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.