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Finding the Third Proportional to 15,984.84 and 34,068.09

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Solution

The third proportional to 15,984.84 and 34,068.09 is: 72,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984.84 : 34,068.09 = 34,068.09 : x
  2. Step 2: Convert to fraction form
    15,984.84/34,068.09 = 34,068.09/x
  3. Step 3: Cross multiply
    15,984.84x = 34,068.09 × 34,068.09
  4. Step 4: Simplify right side
    15,984.84x = 1,160,635,011.76
  5. Step 5: Solve for x
    x = 1,160,635,011.76/15,984.84
  6. Step 6: Final answer
    x = 72,608.47

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.