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Finding the Third Proportional to 4,577.06 and 6,836.06

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Solution

The third proportional to 4,577.06 and 6,836.06 is: 10,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.06 : 6,836.06 = 6,836.06 : x
  2. Step 2: Convert to fraction form
    4,577.06/6,836.06 = 6,836.06/x
  3. Step 3: Cross multiply
    4,577.06x = 6,836.06 × 6,836.06
  4. Step 4: Simplify right side
    4,577.06x = 46,731,750.50
  5. Step 5: Solve for x
    x = 46,731,750.50/4,577.06
  6. Step 6: Final answer
    x = 10,209.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.