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Finding the Third Proportional to 11,595.13 and 13,113.88

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Solution

The third proportional to 11,595.13 and 13,113.88 is: 14,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.13 : 13,113.88 = 13,113.88 : x
  2. Step 2: Convert to fraction form
    11,595.13/13,113.88 = 13,113.88/x
  3. Step 3: Cross multiply
    11,595.13x = 13,113.88 × 13,113.88
  4. Step 4: Simplify right side
    11,595.13x = 171,973,717.52
  5. Step 5: Solve for x
    x = 171,973,717.52/11,595.13
  6. Step 6: Final answer
    x = 14,831.55

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.