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Finding the Third Proportional to 25,995 and 56,310

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Solution

The third proportional to 25,995 and 56,310 is: 121,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,995 : 56,310 = 56,310 : x
  2. Step 2: Convert to fraction form
    25,995/56,310 = 56,310/x
  3. Step 3: Cross multiply
    25,995x = 56,310 × 56,310
  4. Step 4: Simplify right side
    25,995x = 3,170,816,100
  5. Step 5: Solve for x
    x = 3,170,816,100/25,995
  6. Step 6: Final answer
    x = 121,977.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.