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Finding the Third Proportional to 38,743.50 and 58,887

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Solution

The third proportional to 38,743.50 and 58,887 is: 89,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,743.50 : 58,887 = 58,887 : x
  2. Step 2: Convert to fraction form
    38,743.50/58,887 = 58,887/x
  3. Step 3: Cross multiply
    38,743.50x = 58,887 × 58,887
  4. Step 4: Simplify right side
    38,743.50x = 3,467,678,769
  5. Step 5: Solve for x
    x = 3,467,678,769/38,743.50
  6. Step 6: Final answer
    x = 89,503.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.