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Finding the Third Proportional to 5,020.63 and 10,905.47

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Solution

The third proportional to 5,020.63 and 10,905.47 is: 23,688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,020.63 : 10,905.47 = 10,905.47 : x
  2. Step 2: Convert to fraction form
    5,020.63/10,905.47 = 10,905.47/x
  3. Step 3: Cross multiply
    5,020.63x = 10,905.47 × 10,905.47
  4. Step 4: Simplify right side
    5,020.63x = 118,929,248.66
  5. Step 5: Solve for x
    x = 118,929,248.66/5,020.63
  6. Step 6: Final answer
    x = 23,688.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.