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Finding the Third Proportional to 23,487 and 49,281.75

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Solution

The third proportional to 23,487 and 49,281.75 is: 103,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487 : 49,281.75 = 49,281.75 : x
  2. Step 2: Convert to fraction form
    23,487/49,281.75 = 49,281.75/x
  3. Step 3: Cross multiply
    23,487x = 49,281.75 × 49,281.75
  4. Step 4: Simplify right side
    23,487x = 2,428,690,883.06
  5. Step 5: Solve for x
    x = 2,428,690,883.06/23,487
  6. Step 6: Final answer
    x = 103,405.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.