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Finding the Third Proportional to 25,544 and 40,776

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Solution

The third proportional to 25,544 and 40,776 is: 65,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,544 : 40,776 = 40,776 : x
  2. Step 2: Convert to fraction form
    25,544/40,776 = 40,776/x
  3. Step 3: Cross multiply
    25,544x = 40,776 × 40,776
  4. Step 4: Simplify right side
    25,544x = 1,662,682,176
  5. Step 5: Solve for x
    x = 1,662,682,176/25,544
  6. Step 6: Final answer
    x = 65,090.91

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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.