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Finding the Third Proportional to 31,365 and 48,953

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Solution

The third proportional to 31,365 and 48,953 is: 76,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,365 : 48,953 = 48,953 : x
  2. Step 2: Convert to fraction form
    31,365/48,953 = 48,953/x
  3. Step 3: Cross multiply
    31,365x = 48,953 × 48,953
  4. Step 4: Simplify right side
    31,365x = 2,396,396,209
  5. Step 5: Solve for x
    x = 2,396,396,209/31,365
  6. Step 6: Final answer
    x = 76,403.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.