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Finding the Third Proportional to 12,631.13 and 19,756.88

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Solution

The third proportional to 12,631.13 and 19,756.88 is: 30,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,631.13 : 19,756.88 = 19,756.88 : x
  2. Step 2: Convert to fraction form
    12,631.13/19,756.88 = 19,756.88/x
  3. Step 3: Cross multiply
    12,631.13x = 19,756.88 × 19,756.88
  4. Step 4: Simplify right side
    12,631.13x = 390,334,109.77
  5. Step 5: Solve for x
    x = 390,334,109.77/12,631.13
  6. Step 6: Final answer
    x = 30,902.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.