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Finding the Third Proportional to 4,990.04 and 10,588.54

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Solution

The third proportional to 4,990.04 and 10,588.54 is: 22,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.04 : 10,588.54 = 10,588.54 : x
  2. Step 2: Convert to fraction form
    4,990.04/10,588.54 = 10,588.54/x
  3. Step 3: Cross multiply
    4,990.04x = 10,588.54 × 10,588.54
  4. Step 4: Simplify right side
    4,990.04x = 112,117,076.76
  5. Step 5: Solve for x
    x = 112,117,076.76/4,990.04
  6. Step 6: Final answer
    x = 22,468.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.