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Finding the Third Proportional to 13,746 and 29,271

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Solution

The third proportional to 13,746 and 29,271 is: 62,330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746 : 29,271 = 29,271 : x
  2. Step 2: Convert to fraction form
    13,746/29,271 = 29,271/x
  3. Step 3: Cross multiply
    13,746x = 29,271 × 29,271
  4. Step 4: Simplify right side
    13,746x = 856,791,441
  5. Step 5: Solve for x
    x = 856,791,441/13,746
  6. Step 6: Final answer
    x = 62,330.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.