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Finding the Third Proportional to 30,106.69 and 53,599.22

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Solution

The third proportional to 30,106.69 and 53,599.22 is: 95,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.69 : 53,599.22 = 53,599.22 : x
  2. Step 2: Convert to fraction form
    30,106.69/53,599.22 = 53,599.22/x
  3. Step 3: Cross multiply
    30,106.69x = 53,599.22 × 53,599.22
  4. Step 4: Simplify right side
    30,106.69x = 2,872,876,250.61
  5. Step 5: Solve for x
    x = 2,872,876,250.61/30,106.69
  6. Step 6: Final answer
    x = 95,423.19

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.