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Finding the Third Proportional to 5,897.81 and 8,267.06

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Solution

The third proportional to 5,897.81 and 8,267.06 is: 11,588.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.81 : 8,267.06 = 8,267.06 : x
  2. Step 2: Convert to fraction form
    5,897.81/8,267.06 = 8,267.06/x
  3. Step 3: Cross multiply
    5,897.81x = 8,267.06 × 8,267.06
  4. Step 4: Simplify right side
    5,897.81x = 68,344,322.38
  5. Step 5: Solve for x
    x = 68,344,322.38/5,897.81
  6. Step 6: Final answer
    x = 11,588.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.