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Finding the Third Proportional to 5,270.06 and 11,599.45

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Solution

The third proportional to 5,270.06 and 11,599.45 is: 25,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.06 : 11,599.45 = 11,599.45 : x
  2. Step 2: Convert to fraction form
    5,270.06/11,599.45 = 11,599.45/x
  3. Step 3: Cross multiply
    5,270.06x = 11,599.45 × 11,599.45
  4. Step 4: Simplify right side
    5,270.06x = 134,547,312.80
  5. Step 5: Solve for x
    x = 134,547,312.80/5,270.06
  6. Step 6: Final answer
    x = 25,530.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.