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Finding the Third Proportional to 30,089.81 and 62,229.94

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Solution

The third proportional to 30,089.81 and 62,229.94 is: 128,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,089.81 : 62,229.94 = 62,229.94 : x
  2. Step 2: Convert to fraction form
    30,089.81/62,229.94 = 62,229.94/x
  3. Step 3: Cross multiply
    30,089.81x = 62,229.94 × 62,229.94
  4. Step 4: Simplify right side
    30,089.81x = 3,872,565,121.25
  5. Step 5: Solve for x
    x = 3,872,565,121.25/30,089.81
  6. Step 6: Final answer
    x = 128,700.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.