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Finding the Third Proportional to 15,140 and 32,906

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Solution

The third proportional to 15,140 and 32,906 is: 71,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140 : 32,906 = 32,906 : x
  2. Step 2: Convert to fraction form
    15,140/32,906 = 32,906/x
  3. Step 3: Cross multiply
    15,140x = 32,906 × 32,906
  4. Step 4: Simplify right side
    15,140x = 1,082,804,836
  5. Step 5: Solve for x
    x = 1,082,804,836/15,140
  6. Step 6: Final answer
    x = 71,519.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.