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Finding the Third Proportional to 12,575.25 and 18,430.88

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Solution

The third proportional to 12,575.25 and 18,430.88 is: 27,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.25 : 18,430.88 = 18,430.88 : x
  2. Step 2: Convert to fraction form
    12,575.25/18,430.88 = 18,430.88/x
  3. Step 3: Cross multiply
    12,575.25x = 18,430.88 × 18,430.88
  4. Step 4: Simplify right side
    12,575.25x = 339,697,153.27
  5. Step 5: Solve for x
    x = 339,697,153.27/12,575.25
  6. Step 6: Final answer
    x = 27,013.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.