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Finding the Third Proportional to 19,833 and 42,931.50

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Solution

The third proportional to 19,833 and 42,931.50 is: 92,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833 : 42,931.50 = 42,931.50 : x
  2. Step 2: Convert to fraction form
    19,833/42,931.50 = 42,931.50/x
  3. Step 3: Cross multiply
    19,833x = 42,931.50 × 42,931.50
  4. Step 4: Simplify right side
    19,833x = 1,843,113,692.25
  5. Step 5: Solve for x
    x = 1,843,113,692.25/19,833
  6. Step 6: Final answer
    x = 92,931.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.