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Finding the Third Proportional to 48,441 and 70,747.50

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Solution

The third proportional to 48,441 and 70,747.50 is: 103,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,441 : 70,747.50 = 70,747.50 : x
  2. Step 2: Convert to fraction form
    48,441/70,747.50 = 70,747.50/x
  3. Step 3: Cross multiply
    48,441x = 70,747.50 × 70,747.50
  4. Step 4: Simplify right side
    48,441x = 5,005,208,756.25
  5. Step 5: Solve for x
    x = 5,005,208,756.25/48,441
  6. Step 6: Final answer
    x = 103,325.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.