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Finding the Third Proportional to 12,357.84 and 29,159.72

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Solution

The third proportional to 12,357.84 and 29,159.72 is: 68,805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.84 : 29,159.72 = 29,159.72 : x
  2. Step 2: Convert to fraction form
    12,357.84/29,159.72 = 29,159.72/x
  3. Step 3: Cross multiply
    12,357.84x = 29,159.72 × 29,159.72
  4. Step 4: Simplify right side
    12,357.84x = 850,289,197.58
  5. Step 5: Solve for x
    x = 850,289,197.58/12,357.84
  6. Step 6: Final answer
    x = 68,805.63

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.