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Finding the Third Proportional to 19,931.50 and 42,293

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Solution

The third proportional to 19,931.50 and 42,293 is: 89,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,931.50 : 42,293 = 42,293 : x
  2. Step 2: Convert to fraction form
    19,931.50/42,293 = 42,293/x
  3. Step 3: Cross multiply
    19,931.50x = 42,293 × 42,293
  4. Step 4: Simplify right side
    19,931.50x = 1,788,697,849
  5. Step 5: Solve for x
    x = 1,788,697,849/19,931.50
  6. Step 6: Final answer
    x = 89,742.26

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.