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Finding the Third Proportional to 5,866.88 and 9,005.63

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Solution

The third proportional to 5,866.88 and 9,005.63 is: 13,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.88 : 9,005.63 = 9,005.63 : x
  2. Step 2: Convert to fraction form
    5,866.88/9,005.63 = 9,005.63/x
  3. Step 3: Cross multiply
    5,866.88x = 9,005.63 × 9,005.63
  4. Step 4: Simplify right side
    5,866.88x = 81,101,281.64
  5. Step 5: Solve for x
    x = 81,101,281.64/5,866.88
  6. Step 6: Final answer
    x = 13,823.59

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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.