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Finding the Third Proportional to 19,440 and 31,179.94

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Solution

The third proportional to 19,440 and 31,179.94 is: 50,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,440 : 31,179.94 = 31,179.94 : x
  2. Step 2: Convert to fraction form
    19,440/31,179.94 = 31,179.94/x
  3. Step 3: Cross multiply
    19,440x = 31,179.94 × 31,179.94
  4. Step 4: Simplify right side
    19,440x = 972,188,502.50
  5. Step 5: Solve for x
    x = 972,188,502.50/19,440
  6. Step 6: Final answer
    x = 50,009.70

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.