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Finding the Third Proportional to 25,685 and 40,754.50

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Solution

The third proportional to 25,685 and 40,754.50 is: 64,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685 : 40,754.50 = 40,754.50 : x
  2. Step 2: Convert to fraction form
    25,685/40,754.50 = 40,754.50/x
  3. Step 3: Cross multiply
    25,685x = 40,754.50 × 40,754.50
  4. Step 4: Simplify right side
    25,685x = 1,660,929,270.25
  5. Step 5: Solve for x
    x = 1,660,929,270.25/25,685
  6. Step 6: Final answer
    x = 64,665.34

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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.