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Finding the Third Proportional to 25,916 and 40,019.75

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Solution

The third proportional to 25,916 and 40,019.75 is: 61,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,916 : 40,019.75 = 40,019.75 : x
  2. Step 2: Convert to fraction form
    25,916/40,019.75 = 40,019.75/x
  3. Step 3: Cross multiply
    25,916x = 40,019.75 × 40,019.75
  4. Step 4: Simplify right side
    25,916x = 1,601,580,390.06
  5. Step 5: Solve for x
    x = 1,601,580,390.06/25,916
  6. Step 6: Final answer
    x = 61,798.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.