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Finding the Third Proportional to 4,892.63 and 10,666.13

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Solution

The third proportional to 4,892.63 and 10,666.13 is: 23,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.63 : 10,666.13 = 10,666.13 : x
  2. Step 2: Convert to fraction form
    4,892.63/10,666.13 = 10,666.13/x
  3. Step 3: Cross multiply
    4,892.63x = 10,666.13 × 10,666.13
  4. Step 4: Simplify right side
    4,892.63x = 113,766,222.52
  5. Step 5: Solve for x
    x = 113,766,222.52/4,892.63
  6. Step 6: Final answer
    x = 23,252.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.