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Finding the Third Proportional to 9,925.88 and 15,204.75

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Solution

The third proportional to 9,925.88 and 15,204.75 is: 23,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.88 : 15,204.75 = 15,204.75 : x
  2. Step 2: Convert to fraction form
    9,925.88/15,204.75 = 15,204.75/x
  3. Step 3: Cross multiply
    9,925.88x = 15,204.75 × 15,204.75
  4. Step 4: Simplify right side
    9,925.88x = 231,184,422.56
  5. Step 5: Solve for x
    x = 231,184,422.56/9,925.88
  6. Step 6: Final answer
    x = 23,291.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.