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Finding the Third Proportional to 7,501.75 and 12,083.88

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Solution

The third proportional to 7,501.75 and 12,083.88 is: 19,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,501.75 : 12,083.88 = 12,083.88 : x
  2. Step 2: Convert to fraction form
    7,501.75/12,083.88 = 12,083.88/x
  3. Step 3: Cross multiply
    7,501.75x = 12,083.88 × 12,083.88
  4. Step 4: Simplify right side
    7,501.75x = 146,020,035.02
  5. Step 5: Solve for x
    x = 146,020,035.02/7,501.75
  6. Step 6: Final answer
    x = 19,464.80

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.