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Finding the Third Proportional to 21,905 and 49,659.50

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Solution

The third proportional to 21,905 and 49,659.50 is: 112,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905 : 49,659.50 = 49,659.50 : x
  2. Step 2: Convert to fraction form
    21,905/49,659.50 = 49,659.50/x
  3. Step 3: Cross multiply
    21,905x = 49,659.50 × 49,659.50
  4. Step 4: Simplify right side
    21,905x = 2,466,065,940.25
  5. Step 5: Solve for x
    x = 2,466,065,940.25/21,905
  6. Step 6: Final answer
    x = 112,580.05

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.