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Finding the Third Proportional to 19,569.09 and 41,674.50

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Solution

The third proportional to 19,569.09 and 41,674.50 is: 88,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,569.09 : 41,674.50 = 41,674.50 : x
  2. Step 2: Convert to fraction form
    19,569.09/41,674.50 = 41,674.50/x
  3. Step 3: Cross multiply
    19,569.09x = 41,674.50 × 41,674.50
  4. Step 4: Simplify right side
    19,569.09x = 1,736,763,950.25
  5. Step 5: Solve for x
    x = 1,736,763,950.25/19,569.09
  6. Step 6: Final answer
    x = 88,750.35

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.