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Finding the Third Proportional to 20,167 and 29,368.50

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Solution

The third proportional to 20,167 and 29,368.50 is: 42,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167 : 29,368.50 = 29,368.50 : x
  2. Step 2: Convert to fraction form
    20,167/29,368.50 = 29,368.50/x
  3. Step 3: Cross multiply
    20,167x = 29,368.50 × 29,368.50
  4. Step 4: Simplify right side
    20,167x = 862,508,792.25
  5. Step 5: Solve for x
    x = 862,508,792.25/20,167
  6. Step 6: Final answer
    x = 42,768.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.