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Finding the Third Proportional to 30,472.88 and 40,444.31

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Solution

The third proportional to 30,472.88 and 40,444.31 is: 53,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,472.88 : 40,444.31 = 40,444.31 : x
  2. Step 2: Convert to fraction form
    30,472.88/40,444.31 = 40,444.31/x
  3. Step 3: Cross multiply
    30,472.88x = 40,444.31 × 40,444.31
  4. Step 4: Simplify right side
    30,472.88x = 1,635,742,413.60
  5. Step 5: Solve for x
    x = 1,635,742,413.60/30,472.88
  6. Step 6: Final answer
    x = 53,678.64

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.