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Finding the Third Proportional to 8,026.50 and 10,653.19

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Solution

The third proportional to 8,026.50 and 10,653.19 is: 14,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.50 : 10,653.19 = 10,653.19 : x
  2. Step 2: Convert to fraction form
    8,026.50/10,653.19 = 10,653.19/x
  3. Step 3: Cross multiply
    8,026.50x = 10,653.19 × 10,653.19
  4. Step 4: Simplify right side
    8,026.50x = 113,490,403.91
  5. Step 5: Solve for x
    x = 113,490,403.91/8,026.50
  6. Step 6: Final answer
    x = 14,139.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.