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Finding the Third Proportional to 49,528 and 72,395

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Solution

The third proportional to 49,528 and 72,395 is: 105,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,528 : 72,395 = 72,395 : x
  2. Step 2: Convert to fraction form
    49,528/72,395 = 72,395/x
  3. Step 3: Cross multiply
    49,528x = 72,395 × 72,395
  4. Step 4: Simplify right side
    49,528x = 5,241,036,025
  5. Step 5: Solve for x
    x = 5,241,036,025/49,528
  6. Step 6: Final answer
    x = 105,819.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.