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Finding the Third Proportional to 30,250.50 and 63,633

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Solution

The third proportional to 30,250.50 and 63,633 is: 133,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,250.50 : 63,633 = 63,633 : x
  2. Step 2: Convert to fraction form
    30,250.50/63,633 = 63,633/x
  3. Step 3: Cross multiply
    30,250.50x = 63,633 × 63,633
  4. Step 4: Simplify right side
    30,250.50x = 4,049,158,689
  5. Step 5: Solve for x
    x = 4,049,158,689/30,250.50
  6. Step 6: Final answer
    x = 133,854.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.