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Finding the Third Proportional to 62,379 and 83,605.50

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Solution

The third proportional to 62,379 and 83,605.50 is: 112,055.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,379 : 83,605.50 = 83,605.50 : x
  2. Step 2: Convert to fraction form
    62,379/83,605.50 = 83,605.50/x
  3. Step 3: Cross multiply
    62,379x = 83,605.50 × 83,605.50
  4. Step 4: Simplify right side
    62,379x = 6,989,879,630.25
  5. Step 5: Solve for x
    x = 6,989,879,630.25/62,379
  6. Step 6: Final answer
    x = 112,055.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.