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Finding the Third Proportional to 5,988.94 and 12,598.59

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Solution

The third proportional to 5,988.94 and 12,598.59 is: 26,502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.94 : 12,598.59 = 12,598.59 : x
  2. Step 2: Convert to fraction form
    5,988.94/12,598.59 = 12,598.59/x
  3. Step 3: Cross multiply
    5,988.94x = 12,598.59 × 12,598.59
  4. Step 4: Simplify right side
    5,988.94x = 158,724,564.48
  5. Step 5: Solve for x
    x = 158,724,564.48/5,988.94
  6. Step 6: Final answer
    x = 26,502.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.