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Finding the Third Proportional to 13,510 and 29,009

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Solution

The third proportional to 13,510 and 29,009 is: 62,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510 : 29,009 = 29,009 : x
  2. Step 2: Convert to fraction form
    13,510/29,009 = 29,009/x
  3. Step 3: Cross multiply
    13,510x = 29,009 × 29,009
  4. Step 4: Simplify right side
    13,510x = 841,522,081
  5. Step 5: Solve for x
    x = 841,522,081/13,510
  6. Step 6: Final answer
    x = 62,288.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.