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Finding the Third Proportional to 11,670 and 25,607.63

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Solution

The third proportional to 11,670 and 25,607.63 is: 56,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670 : 25,607.63 = 25,607.63 : x
  2. Step 2: Convert to fraction form
    11,670/25,607.63 = 25,607.63/x
  3. Step 3: Cross multiply
    11,670x = 25,607.63 × 25,607.63
  4. Step 4: Simplify right side
    11,670x = 655,750,458.14
  5. Step 5: Solve for x
    x = 655,750,458.14/11,670
  6. Step 6: Final answer
    x = 56,191.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.