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Finding the Third Proportional to 5,985.66 and 9,473.34

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Solution

The third proportional to 5,985.66 and 9,473.34 is: 14,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.66 : 9,473.34 = 9,473.34 : x
  2. Step 2: Convert to fraction form
    5,985.66/9,473.34 = 9,473.34/x
  3. Step 3: Cross multiply
    5,985.66x = 9,473.34 × 9,473.34
  4. Step 4: Simplify right side
    5,985.66x = 89,744,241.81
  5. Step 5: Solve for x
    x = 89,744,241.81/5,985.66
  6. Step 6: Final answer
    x = 14,993.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.