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Finding the Third Proportional to 14,387.78 and 31,235.94

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Solution

The third proportional to 14,387.78 and 31,235.94 is: 67,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,387.78 : 31,235.94 = 31,235.94 : x
  2. Step 2: Convert to fraction form
    14,387.78/31,235.94 = 31,235.94/x
  3. Step 3: Cross multiply
    14,387.78x = 31,235.94 × 31,235.94
  4. Step 4: Simplify right side
    14,387.78x = 975,684,035.53
  5. Step 5: Solve for x
    x = 975,684,035.53/14,387.78
  6. Step 6: Final answer
    x = 67,813.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.