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Finding the Third Proportional to 19,709.50 and 42,335

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Solution

The third proportional to 19,709.50 and 42,335 is: 90,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.50 : 42,335 = 42,335 : x
  2. Step 2: Convert to fraction form
    19,709.50/42,335 = 42,335/x
  3. Step 3: Cross multiply
    19,709.50x = 42,335 × 42,335
  4. Step 4: Simplify right side
    19,709.50x = 1,792,252,225
  5. Step 5: Solve for x
    x = 1,792,252,225/19,709.50
  6. Step 6: Final answer
    x = 90,933.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.