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Finding the Third Proportional to 49,911 and 74,695.50

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Solution

The third proportional to 49,911 and 74,695.50 is: 111,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,911 : 74,695.50 = 74,695.50 : x
  2. Step 2: Convert to fraction form
    49,911/74,695.50 = 74,695.50/x
  3. Step 3: Cross multiply
    49,911x = 74,695.50 × 74,695.50
  4. Step 4: Simplify right side
    49,911x = 5,579,417,720.25
  5. Step 5: Solve for x
    x = 5,579,417,720.25/49,911
  6. Step 6: Final answer
    x = 111,787.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.