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Finding the Third Proportional to 16,389.75 and 34,740.38

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Solution

The third proportional to 16,389.75 and 34,740.38 is: 73,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.75 : 34,740.38 = 34,740.38 : x
  2. Step 2: Convert to fraction form
    16,389.75/34,740.38 = 34,740.38/x
  3. Step 3: Cross multiply
    16,389.75x = 34,740.38 × 34,740.38
  4. Step 4: Simplify right side
    16,389.75x = 1,206,893,655.14
  5. Step 5: Solve for x
    x = 1,206,893,655.14/16,389.75
  6. Step 6: Final answer
    x = 73,637.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.