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Finding the Third Proportional to 43,983 and 67,807.13

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Solution

The third proportional to 43,983 and 67,807.13 is: 104,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,983 : 67,807.13 = 67,807.13 : x
  2. Step 2: Convert to fraction form
    43,983/67,807.13 = 67,807.13/x
  3. Step 3: Cross multiply
    43,983x = 67,807.13 × 67,807.13
  4. Step 4: Simplify right side
    43,983x = 4,597,806,200.77
  5. Step 5: Solve for x
    x = 4,597,806,200.77/43,983
  6. Step 6: Final answer
    x = 104,535.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.