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Finding the Third Proportional to 15,757 and 32,323

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Solution

The third proportional to 15,757 and 32,323 is: 66,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757 : 32,323 = 32,323 : x
  2. Step 2: Convert to fraction form
    15,757/32,323 = 32,323/x
  3. Step 3: Cross multiply
    15,757x = 32,323 × 32,323
  4. Step 4: Simplify right side
    15,757x = 1,044,776,329
  5. Step 5: Solve for x
    x = 1,044,776,329/15,757
  6. Step 6: Final answer
    x = 66,305.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.