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Finding the Third Proportional to 6,719.63 and 10,438.88

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Solution

The third proportional to 6,719.63 and 10,438.88 is: 16,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.63 : 10,438.88 = 10,438.88 : x
  2. Step 2: Convert to fraction form
    6,719.63/10,438.88 = 10,438.88/x
  3. Step 3: Cross multiply
    6,719.63x = 10,438.88 × 10,438.88
  4. Step 4: Simplify right side
    6,719.63x = 108,970,111.27
  5. Step 5: Solve for x
    x = 108,970,111.27/6,719.63
  6. Step 6: Final answer
    x = 16,216.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.