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Finding the Third Proportional to 23,574.75 and 31,473.38

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Solution

The third proportional to 23,574.75 and 31,473.38 is: 42,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.75 : 31,473.38 = 31,473.38 : x
  2. Step 2: Convert to fraction form
    23,574.75/31,473.38 = 31,473.38/x
  3. Step 3: Cross multiply
    23,574.75x = 31,473.38 × 31,473.38
  4. Step 4: Simplify right side
    23,574.75x = 990,573,333.89
  5. Step 5: Solve for x
    x = 990,573,333.89/23,574.75
  6. Step 6: Final answer
    x = 42,018.40

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.