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Finding the Third Proportional to 2,998.27 and 4,666.36

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Solution

The third proportional to 2,998.27 and 4,666.36 is: 7,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.27 : 4,666.36 = 4,666.36 : x
  2. Step 2: Convert to fraction form
    2,998.27/4,666.36 = 4,666.36/x
  3. Step 3: Cross multiply
    2,998.27x = 4,666.36 × 4,666.36
  4. Step 4: Simplify right side
    2,998.27x = 21,774,909.82
  5. Step 5: Solve for x
    x = 21,774,909.82/2,998.27
  6. Step 6: Final answer
    x = 7,262.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.