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Finding the Third Proportional to 15,157 and 32,727

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Solution

The third proportional to 15,157 and 32,727 is: 70,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157 : 32,727 = 32,727 : x
  2. Step 2: Convert to fraction form
    15,157/32,727 = 32,727/x
  3. Step 3: Cross multiply
    15,157x = 32,727 × 32,727
  4. Step 4: Simplify right side
    15,157x = 1,071,056,529
  5. Step 5: Solve for x
    x = 1,071,056,529/15,157
  6. Step 6: Final answer
    x = 70,664.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.