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Finding the Third Proportional to 19,827.56 and 42,921.94

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Solution

The third proportional to 19,827.56 and 42,921.94 is: 92,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.56 : 42,921.94 = 42,921.94 : x
  2. Step 2: Convert to fraction form
    19,827.56/42,921.94 = 42,921.94/x
  3. Step 3: Cross multiply
    19,827.56x = 42,921.94 × 42,921.94
  4. Step 4: Simplify right side
    19,827.56x = 1,842,292,718.75
  5. Step 5: Solve for x
    x = 1,842,292,718.75/19,827.56
  6. Step 6: Final answer
    x = 92,915.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.