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Finding the Third Proportional to 50,522 and 76,484

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Solution

The third proportional to 50,522 and 76,484 is: 115,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,522 : 76,484 = 76,484 : x
  2. Step 2: Convert to fraction form
    50,522/76,484 = 76,484/x
  3. Step 3: Cross multiply
    50,522x = 76,484 × 76,484
  4. Step 4: Simplify right side
    50,522x = 5,849,802,256
  5. Step 5: Solve for x
    x = 5,849,802,256/50,522
  6. Step 6: Final answer
    x = 115,787.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.