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Finding the Third Proportional to 28,657 and 39,596

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Solution

The third proportional to 28,657 and 39,596 is: 54,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,657 : 39,596 = 39,596 : x
  2. Step 2: Convert to fraction form
    28,657/39,596 = 39,596/x
  3. Step 3: Cross multiply
    28,657x = 39,596 × 39,596
  4. Step 4: Simplify right side
    28,657x = 1,567,843,216
  5. Step 5: Solve for x
    x = 1,567,843,216/28,657
  6. Step 6: Final answer
    x = 54,710.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.