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Finding the Third Proportional to 3,291.89 and 6,971.06

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Solution

The third proportional to 3,291.89 and 6,971.06 is: 14,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.89 : 6,971.06 = 6,971.06 : x
  2. Step 2: Convert to fraction form
    3,291.89/6,971.06 = 6,971.06/x
  3. Step 3: Cross multiply
    3,291.89x = 6,971.06 × 6,971.06
  4. Step 4: Simplify right side
    3,291.89x = 48,595,712.38
  5. Step 5: Solve for x
    x = 48,595,712.38/3,291.89
  6. Step 6: Final answer
    x = 14,762.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.