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Finding the Third Proportional to 25,381.16 and 40,224.57

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Solution

The third proportional to 25,381.16 and 40,224.57 is: 63,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,381.16 : 40,224.57 = 40,224.57 : x
  2. Step 2: Convert to fraction form
    25,381.16/40,224.57 = 40,224.57/x
  3. Step 3: Cross multiply
    25,381.16x = 40,224.57 × 40,224.57
  4. Step 4: Simplify right side
    25,381.16x = 1,618,015,899.70
  5. Step 5: Solve for x
    x = 1,618,015,899.70/25,381.16
  6. Step 6: Final answer
    x = 63,748.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.