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Finding the Third Proportional to 11,504.53 and 12,301.88

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Solution

The third proportional to 11,504.53 and 12,301.88 is: 13,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.53 : 12,301.88 = 12,301.88 : x
  2. Step 2: Convert to fraction form
    11,504.53/12,301.88 = 12,301.88/x
  3. Step 3: Cross multiply
    11,504.53x = 12,301.88 × 12,301.88
  4. Step 4: Simplify right side
    11,504.53x = 151,336,128.52
  5. Step 5: Solve for x
    x = 151,336,128.52/11,504.53
  6. Step 6: Final answer
    x = 13,154.48

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.