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Finding the Third Proportional to 3,043 and 4,693.50

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Solution

The third proportional to 3,043 and 4,693.50 is: 7,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043 : 4,693.50 = 4,693.50 : x
  2. Step 2: Convert to fraction form
    3,043/4,693.50 = 4,693.50/x
  3. Step 3: Cross multiply
    3,043x = 4,693.50 × 4,693.50
  4. Step 4: Simplify right side
    3,043x = 22,028,942.25
  5. Step 5: Solve for x
    x = 22,028,942.25/3,043
  6. Step 6: Final answer
    x = 7,239.22

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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.