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Finding the Third Proportional to 16,923.38 and 24,807.75

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Solution

The third proportional to 16,923.38 and 24,807.75 is: 36,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,923.38 : 24,807.75 = 24,807.75 : x
  2. Step 2: Convert to fraction form
    16,923.38/24,807.75 = 24,807.75/x
  3. Step 3: Cross multiply
    16,923.38x = 24,807.75 × 24,807.75
  4. Step 4: Simplify right side
    16,923.38x = 615,424,460.06
  5. Step 5: Solve for x
    x = 615,424,460.06/16,923.38
  6. Step 6: Final answer
    x = 36,365.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.