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Finding the Third Proportional to 48,237.50 and 68,808.50

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Solution

The third proportional to 48,237.50 and 68,808.50 is: 98,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,237.50 : 68,808.50 = 68,808.50 : x
  2. Step 2: Convert to fraction form
    48,237.50/68,808.50 = 68,808.50/x
  3. Step 3: Cross multiply
    48,237.50x = 68,808.50 × 68,808.50
  4. Step 4: Simplify right side
    48,237.50x = 4,734,609,672.25
  5. Step 5: Solve for x
    x = 4,734,609,672.25/48,237.50
  6. Step 6: Final answer
    x = 98,152.05

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Why These Related Problems?

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