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Finding the Third Proportional to 48,230.06 and 68,798.06

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Solution

The third proportional to 48,230.06 and 68,798.06 is: 98,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,230.06 : 68,798.06 = 68,798.06 : x
  2. Step 2: Convert to fraction form
    48,230.06/68,798.06 = 68,798.06/x
  3. Step 3: Cross multiply
    48,230.06x = 68,798.06 × 68,798.06
  4. Step 4: Simplify right side
    48,230.06x = 4,733,173,403.75
  5. Step 5: Solve for x
    x = 4,733,173,403.75/48,230.06
  6. Step 6: Final answer
    x = 98,137.41

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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.