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Finding the Third Proportional to 4,230.56 and 6,026.91

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Solution

The third proportional to 4,230.56 and 6,026.91 is: 8,586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.56 : 6,026.91 = 6,026.91 : x
  2. Step 2: Convert to fraction form
    4,230.56/6,026.91 = 6,026.91/x
  3. Step 3: Cross multiply
    4,230.56x = 6,026.91 × 6,026.91
  4. Step 4: Simplify right side
    4,230.56x = 36,323,598.95
  5. Step 5: Solve for x
    x = 36,323,598.95/4,230.56
  6. Step 6: Final answer
    x = 8,586.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.