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Finding the Third Proportional to 12,298 and 26,988

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Solution

The third proportional to 12,298 and 26,988 is: 59,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298 : 26,988 = 26,988 : x
  2. Step 2: Convert to fraction form
    12,298/26,988 = 26,988/x
  3. Step 3: Cross multiply
    12,298x = 26,988 × 26,988
  4. Step 4: Simplify right side
    12,298x = 728,352,144
  5. Step 5: Solve for x
    x = 728,352,144/12,298
  6. Step 6: Final answer
    x = 59,225.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.