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Finding the Third Proportional to 15,931.69 and 22,276.27

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Solution

The third proportional to 15,931.69 and 22,276.27 is: 31,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.69 : 22,276.27 = 22,276.27 : x
  2. Step 2: Convert to fraction form
    15,931.69/22,276.27 = 22,276.27/x
  3. Step 3: Cross multiply
    15,931.69x = 22,276.27 × 22,276.27
  4. Step 4: Simplify right side
    15,931.69x = 496,232,010.20
  5. Step 5: Solve for x
    x = 496,232,010.20/15,931.69
  6. Step 6: Final answer
    x = 31,147.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.