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Finding the Third Proportional to 6,539.06 and 9,428.63

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Solution

The third proportional to 6,539.06 and 9,428.63 is: 13,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.06 : 9,428.63 = 9,428.63 : x
  2. Step 2: Convert to fraction form
    6,539.06/9,428.63 = 9,428.63/x
  3. Step 3: Cross multiply
    6,539.06x = 9,428.63 × 9,428.63
  4. Step 4: Simplify right side
    6,539.06x = 88,898,969.39
  5. Step 5: Solve for x
    x = 88,898,969.39/6,539.06
  6. Step 6: Final answer
    x = 13,595.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.