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Finding the Third Proportional to 12,034 and 25,730

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Solution

The third proportional to 12,034 and 25,730 is: 55,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034 : 25,730 = 25,730 : x
  2. Step 2: Convert to fraction form
    12,034/25,730 = 25,730/x
  3. Step 3: Cross multiply
    12,034x = 25,730 × 25,730
  4. Step 4: Simplify right side
    12,034x = 662,032,900
  5. Step 5: Solve for x
    x = 662,032,900/12,034
  6. Step 6: Final answer
    x = 55,013.54

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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.