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Finding the Third Proportional to 7,302.66 and 7,953.19

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Solution

The third proportional to 7,302.66 and 7,953.19 is: 8,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.66 : 7,953.19 = 7,953.19 : x
  2. Step 2: Convert to fraction form
    7,302.66/7,953.19 = 7,953.19/x
  3. Step 3: Cross multiply
    7,302.66x = 7,953.19 × 7,953.19
  4. Step 4: Simplify right side
    7,302.66x = 63,253,191.41
  5. Step 5: Solve for x
    x = 63,253,191.41/7,302.66
  6. Step 6: Final answer
    x = 8,661.67

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.