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Finding the Third Proportional to 6,415.88 and 8,537.06

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Solution

The third proportional to 6,415.88 and 8,537.06 is: 11,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.88 : 8,537.06 = 8,537.06 : x
  2. Step 2: Convert to fraction form
    6,415.88/8,537.06 = 8,537.06/x
  3. Step 3: Cross multiply
    6,415.88x = 8,537.06 × 8,537.06
  4. Step 4: Simplify right side
    6,415.88x = 72,881,436.13
  5. Step 5: Solve for x
    x = 72,881,436.13/6,415.88
  6. Step 6: Final answer
    x = 11,359.55

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