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Finding the Third Proportional to 25,890 and 56,484

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Solution

The third proportional to 25,890 and 56,484 is: 123,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,890 : 56,484 = 56,484 : x
  2. Step 2: Convert to fraction form
    25,890/56,484 = 56,484/x
  3. Step 3: Cross multiply
    25,890x = 56,484 × 56,484
  4. Step 4: Simplify right side
    25,890x = 3,190,442,256
  5. Step 5: Solve for x
    x = 3,190,442,256/25,890
  6. Step 6: Final answer
    x = 123,230.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.