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Finding the Third Proportional to 25,994 and 56,074

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Solution

The third proportional to 25,994 and 56,074 is: 120,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994 : 56,074 = 56,074 : x
  2. Step 2: Convert to fraction form
    25,994/56,074 = 56,074/x
  3. Step 3: Cross multiply
    25,994x = 56,074 × 56,074
  4. Step 4: Simplify right side
    25,994x = 3,144,293,476
  5. Step 5: Solve for x
    x = 3,144,293,476/25,994
  6. Step 6: Final answer
    x = 120,962.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.