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Finding the Third Proportional to 6,542.33 and 14,328.77

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Solution

The third proportional to 6,542.33 and 14,328.77 is: 31,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.33 : 14,328.77 = 14,328.77 : x
  2. Step 2: Convert to fraction form
    6,542.33/14,328.77 = 14,328.77/x
  3. Step 3: Cross multiply
    6,542.33x = 14,328.77 × 14,328.77
  4. Step 4: Simplify right side
    6,542.33x = 205,313,748.22
  5. Step 5: Solve for x
    x = 205,313,748.22/6,542.33
  6. Step 6: Final answer
    x = 31,382.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.