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Finding the Third Proportional to 15,342.75 and 27,123.19

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Solution

The third proportional to 15,342.75 and 27,123.19 is: 47,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.75 : 27,123.19 = 27,123.19 : x
  2. Step 2: Convert to fraction form
    15,342.75/27,123.19 = 27,123.19/x
  3. Step 3: Cross multiply
    15,342.75x = 27,123.19 × 27,123.19
  4. Step 4: Simplify right side
    15,342.75x = 735,667,300.16
  5. Step 5: Solve for x
    x = 735,667,300.16/15,342.75
  6. Step 6: Final answer
    x = 47,948.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.