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Finding the Third Proportional to 15,574.78 and 23,969.67

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Solution

The third proportional to 15,574.78 and 23,969.67 is: 36,889.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574.78 : 23,969.67 = 23,969.67 : x
  2. Step 2: Convert to fraction form
    15,574.78/23,969.67 = 23,969.67/x
  3. Step 3: Cross multiply
    15,574.78x = 23,969.67 × 23,969.67
  4. Step 4: Simplify right side
    15,574.78x = 574,545,169.80
  5. Step 5: Solve for x
    x = 574,545,169.80/15,574.78
  6. Step 6: Final answer
    x = 36,889.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.