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Finding the Third Proportional to 9,870.75 and 10,950.75

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Solution

The third proportional to 9,870.75 and 10,950.75 is: 12,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.75 : 10,950.75 = 10,950.75 : x
  2. Step 2: Convert to fraction form
    9,870.75/10,950.75 = 10,950.75/x
  3. Step 3: Cross multiply
    9,870.75x = 10,950.75 × 10,950.75
  4. Step 4: Simplify right side
    9,870.75x = 119,918,925.56
  5. Step 5: Solve for x
    x = 119,918,925.56/9,870.75
  6. Step 6: Final answer
    x = 12,148.92

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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.