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Finding the Third Proportional to 25,336 and 55,046

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Solution

The third proportional to 25,336 and 55,046 is: 119,595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,336 : 55,046 = 55,046 : x
  2. Step 2: Convert to fraction form
    25,336/55,046 = 55,046/x
  3. Step 3: Cross multiply
    25,336x = 55,046 × 55,046
  4. Step 4: Simplify right side
    25,336x = 3,030,062,116
  5. Step 5: Solve for x
    x = 3,030,062,116/25,336
  6. Step 6: Final answer
    x = 119,595.13

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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.