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Finding the Third Proportional to 10,014.88 and 15,709.69

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Solution

The third proportional to 10,014.88 and 15,709.69 is: 24,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.88 : 15,709.69 = 15,709.69 : x
  2. Step 2: Convert to fraction form
    10,014.88/15,709.69 = 15,709.69/x
  3. Step 3: Cross multiply
    10,014.88x = 15,709.69 × 15,709.69
  4. Step 4: Simplify right side
    10,014.88x = 246,794,281.35
  5. Step 5: Solve for x
    x = 246,794,281.35/10,014.88
  6. Step 6: Final answer
    x = 24,642.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.