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Finding the Third Proportional to 48,276 and 69,916.50

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Solution

The third proportional to 48,276 and 69,916.50 is: 101,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,276 : 69,916.50 = 69,916.50 : x
  2. Step 2: Convert to fraction form
    48,276/69,916.50 = 69,916.50/x
  3. Step 3: Cross multiply
    48,276x = 69,916.50 × 69,916.50
  4. Step 4: Simplify right side
    48,276x = 4,888,316,972.25
  5. Step 5: Solve for x
    x = 4,888,316,972.25/48,276
  6. Step 6: Final answer
    x = 101,257.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.