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Finding the Third Proportional to 38,386.50 and 58,794.50

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Solution

The third proportional to 38,386.50 and 58,794.50 is: 90,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,386.50 : 58,794.50 = 58,794.50 : x
  2. Step 2: Convert to fraction form
    38,386.50/58,794.50 = 58,794.50/x
  3. Step 3: Cross multiply
    38,386.50x = 58,794.50 × 58,794.50
  4. Step 4: Simplify right side
    38,386.50x = 3,456,793,230.25
  5. Step 5: Solve for x
    x = 3,456,793,230.25/38,386.50
  6. Step 6: Final answer
    x = 90,052.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.