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Finding the Third Proportional to 19,931 and 42,291.50

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Solution

The third proportional to 19,931 and 42,291.50 is: 89,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,931 : 42,291.50 = 42,291.50 : x
  2. Step 2: Convert to fraction form
    19,931/42,291.50 = 42,291.50/x
  3. Step 3: Cross multiply
    19,931x = 42,291.50 × 42,291.50
  4. Step 4: Simplify right side
    19,931x = 1,788,570,972.25
  5. Step 5: Solve for x
    x = 1,788,570,972.25/19,931
  6. Step 6: Final answer
    x = 89,738.15

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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.