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Finding the Third Proportional to 12,934.69 and 21,143.53

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Solution

The third proportional to 12,934.69 and 21,143.53 is: 34,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.69 : 21,143.53 = 21,143.53 : x
  2. Step 2: Convert to fraction form
    12,934.69/21,143.53 = 21,143.53/x
  3. Step 3: Cross multiply
    12,934.69x = 21,143.53 × 21,143.53
  4. Step 4: Simplify right side
    12,934.69x = 447,048,913.72
  5. Step 5: Solve for x
    x = 447,048,913.72/12,934.69
  6. Step 6: Final answer
    x = 34,562.02

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.