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Finding the Third Proportional to 25,600 and 39,536

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Solution

The third proportional to 25,600 and 39,536 is: 61,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600 : 39,536 = 39,536 : x
  2. Step 2: Convert to fraction form
    25,600/39,536 = 39,536/x
  3. Step 3: Cross multiply
    25,600x = 39,536 × 39,536
  4. Step 4: Simplify right side
    25,600x = 1,563,095,296
  5. Step 5: Solve for x
    x = 1,563,095,296/25,600
  6. Step 6: Final answer
    x = 61,058.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.