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Finding the Third Proportional to 19,210.50 and 39,970.13

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Solution

The third proportional to 19,210.50 and 39,970.13 is: 83,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,210.50 : 39,970.13 = 39,970.13 : x
  2. Step 2: Convert to fraction form
    19,210.50/39,970.13 = 39,970.13/x
  3. Step 3: Cross multiply
    19,210.50x = 39,970.13 × 39,970.13
  4. Step 4: Simplify right side
    19,210.50x = 1,597,610,892.52
  5. Step 5: Solve for x
    x = 1,597,610,892.52/19,210.50
  6. Step 6: Final answer
    x = 83,163.42

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.