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Finding the Third Proportional to 7,750 and 16,707.50

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Solution

The third proportional to 7,750 and 16,707.50 is: 36,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750 : 16,707.50 = 16,707.50 : x
  2. Step 2: Convert to fraction form
    7,750/16,707.50 = 16,707.50/x
  3. Step 3: Cross multiply
    7,750x = 16,707.50 × 16,707.50
  4. Step 4: Simplify right side
    7,750x = 279,140,556.25
  5. Step 5: Solve for x
    x = 279,140,556.25/7,750
  6. Step 6: Final answer
    x = 36,018.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.