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Finding the Third Proportional to 23,595.38 and 51,853.50

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Solution

The third proportional to 23,595.38 and 51,853.50 is: 113,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,595.38 : 51,853.50 = 51,853.50 : x
  2. Step 2: Convert to fraction form
    23,595.38/51,853.50 = 51,853.50/x
  3. Step 3: Cross multiply
    23,595.38x = 51,853.50 × 51,853.50
  4. Step 4: Simplify right side
    23,595.38x = 2,688,785,462.25
  5. Step 5: Solve for x
    x = 2,688,785,462.25/23,595.38
  6. Step 6: Final answer
    x = 113,953.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.