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Finding the Third Proportional to 25,994 and 57,046

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Solution

The third proportional to 25,994 and 57,046 is: 125,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994 : 57,046 = 57,046 : x
  2. Step 2: Convert to fraction form
    25,994/57,046 = 57,046/x
  3. Step 3: Cross multiply
    25,994x = 57,046 × 57,046
  4. Step 4: Simplify right side
    25,994x = 3,254,246,116
  5. Step 5: Solve for x
    x = 3,254,246,116/25,994
  6. Step 6: Final answer
    x = 125,192.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.