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Finding the Third Proportional to 25,464 and 55,248

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Solution

The third proportional to 25,464 and 55,248 is: 119,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,464 : 55,248 = 55,248 : x
  2. Step 2: Convert to fraction form
    25,464/55,248 = 55,248/x
  3. Step 3: Cross multiply
    25,464x = 55,248 × 55,248
  4. Step 4: Simplify right side
    25,464x = 3,052,341,504
  5. Step 5: Solve for x
    x = 3,052,341,504/25,464
  6. Step 6: Final answer
    x = 119,868.89

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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.