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Finding the Third Proportional to 23,471 and 50,718.50

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Solution

The third proportional to 23,471 and 50,718.50 is: 109,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471 : 50,718.50 = 50,718.50 : x
  2. Step 2: Convert to fraction form
    23,471/50,718.50 = 50,718.50/x
  3. Step 3: Cross multiply
    23,471x = 50,718.50 × 50,718.50
  4. Step 4: Simplify right side
    23,471x = 2,572,366,242.25
  5. Step 5: Solve for x
    x = 2,572,366,242.25/23,471
  6. Step 6: Final answer
    x = 109,597.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.