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Finding the Third Proportional to 4,897.97 and 10,707.19

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Solution

The third proportional to 4,897.97 and 10,707.19 is: 23,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.97 : 10,707.19 = 10,707.19 : x
  2. Step 2: Convert to fraction form
    4,897.97/10,707.19 = 10,707.19/x
  3. Step 3: Cross multiply
    4,897.97x = 10,707.19 × 10,707.19
  4. Step 4: Simplify right side
    4,897.97x = 114,643,864.16
  5. Step 5: Solve for x
    x = 114,643,864.16/4,897.97
  6. Step 6: Final answer
    x = 23,406.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.