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Finding the Third Proportional to 30,664.50 and 62,053.50

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Solution

The third proportional to 30,664.50 and 62,053.50 is: 125,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,664.50 : 62,053.50 = 62,053.50 : x
  2. Step 2: Convert to fraction form
    30,664.50/62,053.50 = 62,053.50/x
  3. Step 3: Cross multiply
    30,664.50x = 62,053.50 × 62,053.50
  4. Step 4: Simplify right side
    30,664.50x = 3,850,636,862.25
  5. Step 5: Solve for x
    x = 3,850,636,862.25/30,664.50
  6. Step 6: Final answer
    x = 125,573.12

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.