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Finding the Third Proportional to 28,740 and 40,566

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Solution

The third proportional to 28,740 and 40,566 is: 57,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,740 : 40,566 = 40,566 : x
  2. Step 2: Convert to fraction form
    28,740/40,566 = 40,566/x
  3. Step 3: Cross multiply
    28,740x = 40,566 × 40,566
  4. Step 4: Simplify right side
    28,740x = 1,645,600,356
  5. Step 5: Solve for x
    x = 1,645,600,356/28,740
  6. Step 6: Final answer
    x = 57,258.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.