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Finding the Third Proportional to 45,851.50 and 68,345

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Solution

The third proportional to 45,851.50 and 68,345 is: 101,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,851.50 : 68,345 = 68,345 : x
  2. Step 2: Convert to fraction form
    45,851.50/68,345 = 68,345/x
  3. Step 3: Cross multiply
    45,851.50x = 68,345 × 68,345
  4. Step 4: Simplify right side
    45,851.50x = 4,671,039,025
  5. Step 5: Solve for x
    x = 4,671,039,025/45,851.50
  6. Step 6: Final answer
    x = 101,873.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.