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Finding the Third Proportional to 5,890.50 and 12,598.13

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Solution

The third proportional to 5,890.50 and 12,598.13 is: 26,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.50 : 12,598.13 = 12,598.13 : x
  2. Step 2: Convert to fraction form
    5,890.50/12,598.13 = 12,598.13/x
  3. Step 3: Cross multiply
    5,890.50x = 12,598.13 × 12,598.13
  4. Step 4: Simplify right side
    5,890.50x = 158,712,753.52
  5. Step 5: Solve for x
    x = 158,712,753.52/5,890.50
  6. Step 6: Final answer
    x = 26,943.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.