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Finding the Third Proportional to 4,989.75 and 10,810.13

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Solution

The third proportional to 4,989.75 and 10,810.13 is: 23,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989.75 : 10,810.13 = 10,810.13 : x
  2. Step 2: Convert to fraction form
    4,989.75/10,810.13 = 10,810.13/x
  3. Step 3: Cross multiply
    4,989.75x = 10,810.13 × 10,810.13
  4. Step 4: Simplify right side
    4,989.75x = 116,858,802.52
  5. Step 5: Solve for x
    x = 116,858,802.52/4,989.75
  6. Step 6: Final answer
    x = 23,419.77

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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.