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Finding the Third Proportional to 11,562.75 and 25,206.19

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Solution

The third proportional to 11,562.75 and 25,206.19 is: 54,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.75 : 25,206.19 = 25,206.19 : x
  2. Step 2: Convert to fraction form
    11,562.75/25,206.19 = 25,206.19/x
  3. Step 3: Cross multiply
    11,562.75x = 25,206.19 × 25,206.19
  4. Step 4: Simplify right side
    11,562.75x = 635,351,888.29
  5. Step 5: Solve for x
    x = 635,351,888.29/11,562.75
  6. Step 6: Final answer
    x = 54,948.16

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1.5x scale

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.