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Finding the Third Proportional to 19,534 and 42,956

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Solution

The third proportional to 19,534 and 42,956 is: 94,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534 : 42,956 = 42,956 : x
  2. Step 2: Convert to fraction form
    19,534/42,956 = 42,956/x
  3. Step 3: Cross multiply
    19,534x = 42,956 × 42,956
  4. Step 4: Simplify right side
    19,534x = 1,845,217,936
  5. Step 5: Solve for x
    x = 1,845,217,936/19,534
  6. Step 6: Final answer
    x = 94,461.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.