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Finding the Third Proportional to 7,901.30 and 13,277.67

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Solution

The third proportional to 7,901.30 and 13,277.67 is: 22,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.30 : 13,277.67 = 13,277.67 : x
  2. Step 2: Convert to fraction form
    7,901.30/13,277.67 = 13,277.67/x
  3. Step 3: Cross multiply
    7,901.30x = 13,277.67 × 13,277.67
  4. Step 4: Simplify right side
    7,901.30x = 176,296,570.42
  5. Step 5: Solve for x
    x = 176,296,570.42/7,901.30
  6. Step 6: Final answer
    x = 22,312.36

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.