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Finding the Third Proportional to 15,266 and 32,835

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Solution

The third proportional to 15,266 and 32,835 is: 70,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,266 : 32,835 = 32,835 : x
  2. Step 2: Convert to fraction form
    15,266/32,835 = 32,835/x
  3. Step 3: Cross multiply
    15,266x = 32,835 × 32,835
  4. Step 4: Simplify right side
    15,266x = 1,078,137,225
  5. Step 5: Solve for x
    x = 1,078,137,225/15,266
  6. Step 6: Final answer
    x = 70,623.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.