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Finding the Third Proportional to 12,934.69 and 24,054.47

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Solution

The third proportional to 12,934.69 and 24,054.47 is: 44,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.69 : 24,054.47 = 24,054.47 : x
  2. Step 2: Convert to fraction form
    12,934.69/24,054.47 = 24,054.47/x
  3. Step 3: Cross multiply
    12,934.69x = 24,054.47 × 24,054.47
  4. Step 4: Simplify right side
    12,934.69x = 578,617,466.84
  5. Step 5: Solve for x
    x = 578,617,466.84/12,934.69
  6. Step 6: Final answer
    x = 44,733.78

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.