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Finding the Third Proportional to 10,653.71 and 15,774.43

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Solution

The third proportional to 10,653.71 and 15,774.43 is: 23,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.71 : 15,774.43 = 15,774.43 : x
  2. Step 2: Convert to fraction form
    10,653.71/15,774.43 = 15,774.43/x
  3. Step 3: Cross multiply
    10,653.71x = 15,774.43 × 15,774.43
  4. Step 4: Simplify right side
    10,653.71x = 248,832,755.20
  5. Step 5: Solve for x
    x = 248,832,755.20/10,653.71
  6. Step 6: Final answer
    x = 23,356.43

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.