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Finding the Third Proportional to 25,684 and 40,754

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Solution

The third proportional to 25,684 and 40,754 is: 64,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,684 : 40,754 = 40,754 : x
  2. Step 2: Convert to fraction form
    25,684/40,754 = 40,754/x
  3. Step 3: Cross multiply
    25,684x = 40,754 × 40,754
  4. Step 4: Simplify right side
    25,684x = 1,660,888,516
  5. Step 5: Solve for x
    x = 1,660,888,516/25,684
  6. Step 6: Final answer
    x = 64,666.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.