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Finding the Third Proportional to 27,283.50 and 59,639.50

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Solution

The third proportional to 27,283.50 and 59,639.50 is: 130,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,283.50 : 59,639.50 = 59,639.50 : x
  2. Step 2: Convert to fraction form
    27,283.50/59,639.50 = 59,639.50/x
  3. Step 3: Cross multiply
    27,283.50x = 59,639.50 × 59,639.50
  4. Step 4: Simplify right side
    27,283.50x = 3,556,869,960.25
  5. Step 5: Solve for x
    x = 3,556,869,960.25/27,283.50
  6. Step 6: Final answer
    x = 130,367.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.