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Finding the Third Proportional to 9,311.63 and 13,312.69

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Solution

The third proportional to 9,311.63 and 13,312.69 is: 19,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.63 : 13,312.69 = 13,312.69 : x
  2. Step 2: Convert to fraction form
    9,311.63/13,312.69 = 13,312.69/x
  3. Step 3: Cross multiply
    9,311.63x = 13,312.69 × 13,312.69
  4. Step 4: Simplify right side
    9,311.63x = 177,227,648.47
  5. Step 5: Solve for x
    x = 177,227,648.47/9,311.63
  6. Step 6: Final answer
    x = 19,032.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.