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Finding the Third Proportional to 2,971.13 and 4,557.94

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Solution

The third proportional to 2,971.13 and 4,557.94 is: 6,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.13 : 4,557.94 = 4,557.94 : x
  2. Step 2: Convert to fraction form
    2,971.13/4,557.94 = 4,557.94/x
  3. Step 3: Cross multiply
    2,971.13x = 4,557.94 × 4,557.94
  4. Step 4: Simplify right side
    2,971.13x = 20,774,794.25
  5. Step 5: Solve for x
    x = 20,774,794.25/2,971.13
  6. Step 6: Final answer
    x = 6,992.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.