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Finding the Third Proportional to 38,017.50 and 59,637

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Solution

The third proportional to 38,017.50 and 59,637 is: 93,550.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,017.50 : 59,637 = 59,637 : x
  2. Step 2: Convert to fraction form
    38,017.50/59,637 = 59,637/x
  3. Step 3: Cross multiply
    38,017.50x = 59,637 × 59,637
  4. Step 4: Simplify right side
    38,017.50x = 3,556,571,769
  5. Step 5: Solve for x
    x = 3,556,571,769/38,017.50
  6. Step 6: Final answer
    x = 93,550.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.