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Finding the Third Proportional to 4,507.50 and 9,834.38

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Solution

The third proportional to 4,507.50 and 9,834.38 is: 21,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.50 : 9,834.38 = 9,834.38 : x
  2. Step 2: Convert to fraction form
    4,507.50/9,834.38 = 9,834.38/x
  3. Step 3: Cross multiply
    4,507.50x = 9,834.38 × 9,834.38
  4. Step 4: Simplify right side
    4,507.50x = 96,714,931.64
  5. Step 5: Solve for x
    x = 96,714,931.64/4,507.50
  6. Step 6: Final answer
    x = 21,456.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.