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Finding the Third Proportional to 10,695.94 and 15,697.69

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Solution

The third proportional to 10,695.94 and 15,697.69 is: 23,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.94 : 15,697.69 = 15,697.69 : x
  2. Step 2: Convert to fraction form
    10,695.94/15,697.69 = 15,697.69/x
  3. Step 3: Cross multiply
    10,695.94x = 15,697.69 × 15,697.69
  4. Step 4: Simplify right side
    10,695.94x = 246,417,392.85
  5. Step 5: Solve for x
    x = 246,417,392.85/10,695.94
  6. Step 6: Final answer
    x = 23,038.41

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