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Finding the Third Proportional to 4,326.75 and 10,688.63

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Solution

The third proportional to 4,326.75 and 10,688.63 is: 26,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.75 : 10,688.63 = 10,688.63 : x
  2. Step 2: Convert to fraction form
    4,326.75/10,688.63 = 10,688.63/x
  3. Step 3: Cross multiply
    4,326.75x = 10,688.63 × 10,688.63
  4. Step 4: Simplify right side
    4,326.75x = 114,246,704.39
  5. Step 5: Solve for x
    x = 114,246,704.39/4,326.75
  6. Step 6: Final answer
    x = 26,404.74

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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.