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Finding the Third Proportional to 16,705.13 and 25,950.38

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Solution

The third proportional to 16,705.13 and 25,950.38 is: 40,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.13 : 25,950.38 = 25,950.38 : x
  2. Step 2: Convert to fraction form
    16,705.13/25,950.38 = 25,950.38/x
  3. Step 3: Cross multiply
    16,705.13x = 25,950.38 × 25,950.38
  4. Step 4: Simplify right side
    16,705.13x = 673,421,962.64
  5. Step 5: Solve for x
    x = 673,421,962.64/16,705.13
  6. Step 6: Final answer
    x = 40,312.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.