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Finding the Third Proportional to 7,515 and 8,365.50

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Solution

The third proportional to 7,515 and 8,365.50 is: 9,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,515 : 8,365.50 = 8,365.50 : x
  2. Step 2: Convert to fraction form
    7,515/8,365.50 = 8,365.50/x
  3. Step 3: Cross multiply
    7,515x = 8,365.50 × 8,365.50
  4. Step 4: Simplify right side
    7,515x = 69,981,590.25
  5. Step 5: Solve for x
    x = 69,981,590.25/7,515
  6. Step 6: Final answer
    x = 9,312.25

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.