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Finding the Third Proportional to 4,923.07 and 10,802.88

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Solution

The third proportional to 4,923.07 and 10,802.88 is: 23,705.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.07 : 10,802.88 = 10,802.88 : x
  2. Step 2: Convert to fraction form
    4,923.07/10,802.88 = 10,802.88/x
  3. Step 3: Cross multiply
    4,923.07x = 10,802.88 × 10,802.88
  4. Step 4: Simplify right side
    4,923.07x = 116,702,277.06
  5. Step 5: Solve for x
    x = 116,702,277.06/4,923.07
  6. Step 6: Final answer
    x = 23,705.18

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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.