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Finding the Third Proportional to 4,748.06 and 10,405.13

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Solution

The third proportional to 4,748.06 and 10,405.13 is: 22,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.06 : 10,405.13 = 10,405.13 : x
  2. Step 2: Convert to fraction form
    4,748.06/10,405.13 = 10,405.13/x
  3. Step 3: Cross multiply
    4,748.06x = 10,405.13 × 10,405.13
  4. Step 4: Simplify right side
    4,748.06x = 108,266,626.27
  5. Step 5: Solve for x
    x = 108,266,626.27/4,748.06
  6. Step 6: Final answer
    x = 22,802.27

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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.