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Finding the Third Proportional to 12,931 and 19,772.50

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Solution

The third proportional to 12,931 and 19,772.50 is: 30,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931 : 19,772.50 = 19,772.50 : x
  2. Step 2: Convert to fraction form
    12,931/19,772.50 = 19,772.50/x
  3. Step 3: Cross multiply
    12,931x = 19,772.50 × 19,772.50
  4. Step 4: Simplify right side
    12,931x = 390,951,756.25
  5. Step 5: Solve for x
    x = 390,951,756.25/12,931
  6. Step 6: Final answer
    x = 30,233.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.