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Finding the Third Proportional to 26,641 and 40,030

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Solution

The third proportional to 26,641 and 40,030 is: 60,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,641 : 40,030 = 40,030 : x
  2. Step 2: Convert to fraction form
    26,641/40,030 = 40,030/x
  3. Step 3: Cross multiply
    26,641x = 40,030 × 40,030
  4. Step 4: Simplify right side
    26,641x = 1,602,400,900
  5. Step 5: Solve for x
    x = 1,602,400,900/26,641
  6. Step 6: Final answer
    x = 60,147.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.