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Finding the Third Proportional to 23,505.19 and 27,438.75

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Solution

The third proportional to 23,505.19 and 27,438.75 is: 32,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.19 : 27,438.75 = 27,438.75 : x
  2. Step 2: Convert to fraction form
    23,505.19/27,438.75 = 27,438.75/x
  3. Step 3: Cross multiply
    23,505.19x = 27,438.75 × 27,438.75
  4. Step 4: Simplify right side
    23,505.19x = 752,885,001.56
  5. Step 5: Solve for x
    x = 752,885,001.56/23,505.19
  6. Step 6: Final answer
    x = 32,030.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.