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Finding the Third Proportional to 7,399.69 and 16,030.13

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Solution

The third proportional to 7,399.69 and 16,030.13 is: 34,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399.69 : 16,030.13 = 16,030.13 : x
  2. Step 2: Convert to fraction form
    7,399.69/16,030.13 = 16,030.13/x
  3. Step 3: Cross multiply
    7,399.69x = 16,030.13 × 16,030.13
  4. Step 4: Simplify right side
    7,399.69x = 256,964,907.52
  5. Step 5: Solve for x
    x = 256,964,907.52/7,399.69
  6. Step 6: Final answer
    x = 34,726.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.