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Finding the Third Proportional to 38,866.50 and 61,803.75

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Solution

The third proportional to 38,866.50 and 61,803.75 is: 98,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,866.50 : 61,803.75 = 61,803.75 : x
  2. Step 2: Convert to fraction form
    38,866.50/61,803.75 = 61,803.75/x
  3. Step 3: Cross multiply
    38,866.50x = 61,803.75 × 61,803.75
  4. Step 4: Simplify right side
    38,866.50x = 3,819,703,514.06
  5. Step 5: Solve for x
    x = 3,819,703,514.06/38,866.50
  6. Step 6: Final answer
    x = 98,277.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.