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Finding the Third Proportional to 5,995.48 and 8,386.35

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Solution

The third proportional to 5,995.48 and 8,386.35 is: 11,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.48 : 8,386.35 = 8,386.35 : x
  2. Step 2: Convert to fraction form
    5,995.48/8,386.35 = 8,386.35/x
  3. Step 3: Cross multiply
    5,995.48x = 8,386.35 × 8,386.35
  4. Step 4: Simplify right side
    5,995.48x = 70,330,827.01
  5. Step 5: Solve for x
    x = 70,330,827.01/5,995.48
  6. Step 6: Final answer
    x = 11,730.65

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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.