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Finding the Third Proportional to 19,294 and 40,956.50

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Solution

The third proportional to 19,294 and 40,956.50 is: 86,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,294 : 40,956.50 = 40,956.50 : x
  2. Step 2: Convert to fraction form
    19,294/40,956.50 = 40,956.50/x
  3. Step 3: Cross multiply
    19,294x = 40,956.50 × 40,956.50
  4. Step 4: Simplify right side
    19,294x = 1,677,434,892.25
  5. Step 5: Solve for x
    x = 1,677,434,892.25/19,294
  6. Step 6: Final answer
    x = 86,940.75

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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.