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Finding the Third Proportional to 15,747 and 37,063.50

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Solution

The third proportional to 15,747 and 37,063.50 is: 87,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747 : 37,063.50 = 37,063.50 : x
  2. Step 2: Convert to fraction form
    15,747/37,063.50 = 37,063.50/x
  3. Step 3: Cross multiply
    15,747x = 37,063.50 × 37,063.50
  4. Step 4: Simplify right side
    15,747x = 1,373,703,032.25
  5. Step 5: Solve for x
    x = 1,373,703,032.25/15,747
  6. Step 6: Final answer
    x = 87,235.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.