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Finding the Third Proportional to 10,646.23 and 14,464.69

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Solution

The third proportional to 10,646.23 and 14,464.69 is: 19,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.23 : 14,464.69 = 14,464.69 : x
  2. Step 2: Convert to fraction form
    10,646.23/14,464.69 = 14,464.69/x
  3. Step 3: Cross multiply
    10,646.23x = 14,464.69 × 14,464.69
  4. Step 4: Simplify right side
    10,646.23x = 209,227,184.47
  5. Step 5: Solve for x
    x = 209,227,184.47/10,646.23
  6. Step 6: Final answer
    x = 19,652.71

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.