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Finding the Third Proportional to 13,018 and 28,412

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Solution

The third proportional to 13,018 and 28,412 is: 62,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,018 : 28,412 = 28,412 : x
  2. Step 2: Convert to fraction form
    13,018/28,412 = 28,412/x
  3. Step 3: Cross multiply
    13,018x = 28,412 × 28,412
  4. Step 4: Simplify right side
    13,018x = 807,241,744
  5. Step 5: Solve for x
    x = 807,241,744/13,018
  6. Step 6: Final answer
    x = 62,009.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.