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Finding the Third Proportional to 4,822.88 and 10,130.06

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Solution

The third proportional to 4,822.88 and 10,130.06 is: 21,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.88 : 10,130.06 = 10,130.06 : x
  2. Step 2: Convert to fraction form
    4,822.88/10,130.06 = 10,130.06/x
  3. Step 3: Cross multiply
    4,822.88x = 10,130.06 × 10,130.06
  4. Step 4: Simplify right side
    4,822.88x = 102,618,166.25
  5. Step 5: Solve for x
    x = 102,618,166.25/4,822.88
  6. Step 6: Final answer
    x = 21,277.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.