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Finding the Third Proportional to 15,349 and 32,883

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Solution

The third proportional to 15,349 and 32,883 is: 70,447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,349 : 32,883 = 32,883 : x
  2. Step 2: Convert to fraction form
    15,349/32,883 = 32,883/x
  3. Step 3: Cross multiply
    15,349x = 32,883 × 32,883
  4. Step 4: Simplify right side
    15,349x = 1,081,291,689
  5. Step 5: Solve for x
    x = 1,081,291,689/15,349
  6. Step 6: Final answer
    x = 70,447.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.