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Finding the Third Proportional to 12,142 and 26,006

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Solution

The third proportional to 12,142 and 26,006 is: 55,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142 : 26,006 = 26,006 : x
  2. Step 2: Convert to fraction form
    12,142/26,006 = 26,006/x
  3. Step 3: Cross multiply
    12,142x = 26,006 × 26,006
  4. Step 4: Simplify right side
    12,142x = 676,312,036
  5. Step 5: Solve for x
    x = 676,312,036/12,142
  6. Step 6: Final answer
    x = 55,700.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.