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Finding the Third Proportional to 13,011.47 and 14,378.34

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Solution

The third proportional to 13,011.47 and 14,378.34 is: 15,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.47 : 14,378.34 = 14,378.34 : x
  2. Step 2: Convert to fraction form
    13,011.47/14,378.34 = 14,378.34/x
  3. Step 3: Cross multiply
    13,011.47x = 14,378.34 × 14,378.34
  4. Step 4: Simplify right side
    13,011.47x = 206,736,768.99
  5. Step 5: Solve for x
    x = 206,736,768.99/13,011.47
  6. Step 6: Final answer
    x = 15,888.81

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.