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Finding the Third Proportional to 9,180 and 20,607.38

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Solution

The third proportional to 9,180 and 20,607.38 is: 46,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 20,607.38 = 20,607.38 : x
  2. Step 2: Convert to fraction form
    9,180/20,607.38 = 20,607.38/x
  3. Step 3: Cross multiply
    9,180x = 20,607.38 × 20,607.38
  4. Step 4: Simplify right side
    9,180x = 424,663,904.39
  5. Step 5: Solve for x
    x = 424,663,904.39/9,180
  6. Step 6: Final answer
    x = 46,259.68

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.