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Finding the Third Proportional to 25,656 and 53,328

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Solution

The third proportional to 25,656 and 53,328 is: 110,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,656 : 53,328 = 53,328 : x
  2. Step 2: Convert to fraction form
    25,656/53,328 = 53,328/x
  3. Step 3: Cross multiply
    25,656x = 53,328 × 53,328
  4. Step 4: Simplify right side
    25,656x = 2,843,875,584
  5. Step 5: Solve for x
    x = 2,843,875,584/25,656
  6. Step 6: Final answer
    x = 110,846.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.