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Finding the Third Proportional to 11,695.13 and 25,000.13

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Solution

The third proportional to 11,695.13 and 25,000.13 is: 53,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.13 : 25,000.13 = 25,000.13 : x
  2. Step 2: Convert to fraction form
    11,695.13/25,000.13 = 25,000.13/x
  3. Step 3: Cross multiply
    11,695.13x = 25,000.13 × 25,000.13
  4. Step 4: Simplify right side
    11,695.13x = 625,006,250.02
  5. Step 5: Solve for x
    x = 625,006,250.02/11,695.13
  6. Step 6: Final answer
    x = 53,441.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.