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Finding the Third Proportional to 24,502.50 and 38,196.56

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Solution

The third proportional to 24,502.50 and 38,196.56 is: 59,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502.50 : 38,196.56 = 38,196.56 : x
  2. Step 2: Convert to fraction form
    24,502.50/38,196.56 = 38,196.56/x
  3. Step 3: Cross multiply
    24,502.50x = 38,196.56 × 38,196.56
  4. Step 4: Simplify right side
    24,502.50x = 1,458,977,386.82
  5. Step 5: Solve for x
    x = 1,458,977,386.82/24,502.50
  6. Step 6: Final answer
    x = 59,544.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.