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Finding the Third Proportional to 12,052.13 and 25,565.63

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Solution

The third proportional to 12,052.13 and 25,565.63 is: 54,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.13 : 25,565.63 = 25,565.63 : x
  2. Step 2: Convert to fraction form
    12,052.13/25,565.63 = 25,565.63/x
  3. Step 3: Cross multiply
    12,052.13x = 25,565.63 × 25,565.63
  4. Step 4: Simplify right side
    12,052.13x = 653,601,181.64
  5. Step 5: Solve for x
    x = 653,601,181.64/12,052.13
  6. Step 6: Final answer
    x = 54,231.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.