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Finding the Third Proportional to 46,003.50 and 98,565

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Solution

The third proportional to 46,003.50 and 98,565 is: 211,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,003.50 : 98,565 = 98,565 : x
  2. Step 2: Convert to fraction form
    46,003.50/98,565 = 98,565/x
  3. Step 3: Cross multiply
    46,003.50x = 98,565 × 98,565
  4. Step 4: Simplify right side
    46,003.50x = 9,715,059,225
  5. Step 5: Solve for x
    x = 9,715,059,225/46,003.50
  6. Step 6: Final answer
    x = 211,180.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.