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Finding the Third Proportional to 5,999.63 and 9,339.19

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Solution

The third proportional to 5,999.63 and 9,339.19 is: 14,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.63 : 9,339.19 = 9,339.19 : x
  2. Step 2: Convert to fraction form
    5,999.63/9,339.19 = 9,339.19/x
  3. Step 3: Cross multiply
    5,999.63x = 9,339.19 × 9,339.19
  4. Step 4: Simplify right side
    5,999.63x = 87,220,423.16
  5. Step 5: Solve for x
    x = 87,220,423.16/5,999.63
  6. Step 6: Final answer
    x = 14,537.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.