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Finding the Third Proportional to 31,349 and 45,295

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Solution

The third proportional to 31,349 and 45,295 is: 65,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,349 : 45,295 = 45,295 : x
  2. Step 2: Convert to fraction form
    31,349/45,295 = 45,295/x
  3. Step 3: Cross multiply
    31,349x = 45,295 × 45,295
  4. Step 4: Simplify right side
    31,349x = 2,051,637,025
  5. Step 5: Solve for x
    x = 2,051,637,025/31,349
  6. Step 6: Final answer
    x = 65,445.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.