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Finding the Third Proportional to 53,582 and 75,477

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Solution

The third proportional to 53,582 and 75,477 is: 106,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,582 : 75,477 = 75,477 : x
  2. Step 2: Convert to fraction form
    53,582/75,477 = 75,477/x
  3. Step 3: Cross multiply
    53,582x = 75,477 × 75,477
  4. Step 4: Simplify right side
    53,582x = 5,696,777,529
  5. Step 5: Solve for x
    x = 5,696,777,529/53,582
  6. Step 6: Final answer
    x = 106,318.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.