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Finding the Third Proportional to 23,657 and 35,584

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Solution

The third proportional to 23,657 and 35,584 is: 53,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657 : 35,584 = 35,584 : x
  2. Step 2: Convert to fraction form
    23,657/35,584 = 35,584/x
  3. Step 3: Cross multiply
    23,657x = 35,584 × 35,584
  4. Step 4: Simplify right side
    23,657x = 1,266,221,056
  5. Step 5: Solve for x
    x = 1,266,221,056/23,657
  6. Step 6: Final answer
    x = 53,524.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.