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Finding the Third Proportional to 34,905 and 49,873.50

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Solution

The third proportional to 34,905 and 49,873.50 is: 71,261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,905 : 49,873.50 = 49,873.50 : x
  2. Step 2: Convert to fraction form
    34,905/49,873.50 = 49,873.50/x
  3. Step 3: Cross multiply
    34,905x = 49,873.50 × 49,873.50
  4. Step 4: Simplify right side
    34,905x = 2,487,366,002.25
  5. Step 5: Solve for x
    x = 2,487,366,002.25/34,905
  6. Step 6: Final answer
    x = 71,261.02

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.