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Finding the Third Proportional to 25,218.84 and 40,288.64

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Solution

The third proportional to 25,218.84 and 40,288.64 is: 64,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,218.84 : 40,288.64 = 40,288.64 : x
  2. Step 2: Convert to fraction form
    25,218.84/40,288.64 = 40,288.64/x
  3. Step 3: Cross multiply
    25,218.84x = 40,288.64 × 40,288.64
  4. Step 4: Simplify right side
    25,218.84x = 1,623,174,563.41
  5. Step 5: Solve for x
    x = 1,623,174,563.41/25,218.84
  6. Step 6: Final answer
    x = 64,363.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.