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Finding the Third Proportional to 16,952 and 24,658.50

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Solution

The third proportional to 16,952 and 24,658.50 is: 35,868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952 : 24,658.50 = 24,658.50 : x
  2. Step 2: Convert to fraction form
    16,952/24,658.50 = 24,658.50/x
  3. Step 3: Cross multiply
    16,952x = 24,658.50 × 24,658.50
  4. Step 4: Simplify right side
    16,952x = 608,041,622.25
  5. Step 5: Solve for x
    x = 608,041,622.25/16,952
  6. Step 6: Final answer
    x = 35,868.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.