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Finding the Third Proportional to 31,926 and 50,528

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Solution

The third proportional to 31,926 and 50,528 is: 79,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,926 : 50,528 = 50,528 : x
  2. Step 2: Convert to fraction form
    31,926/50,528 = 50,528/x
  3. Step 3: Cross multiply
    31,926x = 50,528 × 50,528
  4. Step 4: Simplify right side
    31,926x = 2,553,078,784
  5. Step 5: Solve for x
    x = 2,553,078,784/31,926
  6. Step 6: Final answer
    x = 79,968.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.