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Finding the Third Proportional to 6,539.81 and 14,302.22

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Solution

The third proportional to 6,539.81 and 14,302.22 is: 31,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.81 : 14,302.22 = 14,302.22 : x
  2. Step 2: Convert to fraction form
    6,539.81/14,302.22 = 14,302.22/x
  3. Step 3: Cross multiply
    6,539.81x = 14,302.22 × 14,302.22
  4. Step 4: Simplify right side
    6,539.81x = 204,553,461.17
  5. Step 5: Solve for x
    x = 204,553,461.17/6,539.81
  6. Step 6: Final answer
    x = 31,278.18

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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.