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Finding the Third Proportional to 27,311.50 and 59,564

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Solution

The third proportional to 27,311.50 and 59,564 is: 129,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.50 : 59,564 = 59,564 : x
  2. Step 2: Convert to fraction form
    27,311.50/59,564 = 59,564/x
  3. Step 3: Cross multiply
    27,311.50x = 59,564 × 59,564
  4. Step 4: Simplify right side
    27,311.50x = 3,547,870,096
  5. Step 5: Solve for x
    x = 3,547,870,096/27,311.50
  6. Step 6: Final answer
    x = 129,903.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.