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Finding the Third Proportional to 4,707.47 and 10,143.84

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Solution

The third proportional to 4,707.47 and 10,143.84 is: 21,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.47 : 10,143.84 = 10,143.84 : x
  2. Step 2: Convert to fraction form
    4,707.47/10,143.84 = 10,143.84/x
  3. Step 3: Cross multiply
    4,707.47x = 10,143.84 × 10,143.84
  4. Step 4: Simplify right side
    4,707.47x = 102,897,566.02
  5. Step 5: Solve for x
    x = 102,897,566.02/4,707.47
  6. Step 6: Final answer
    x = 21,858.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.