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Finding the Third Proportional to 48,247.50 and 98,835

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Solution

The third proportional to 48,247.50 and 98,835 is: 202,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,247.50 : 98,835 = 98,835 : x
  2. Step 2: Convert to fraction form
    48,247.50/98,835 = 98,835/x
  3. Step 3: Cross multiply
    48,247.50x = 98,835 × 98,835
  4. Step 4: Simplify right side
    48,247.50x = 9,768,357,225
  5. Step 5: Solve for x
    x = 9,768,357,225/48,247.50
  6. Step 6: Final answer
    x = 202,463.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.