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Finding the Third Proportional to 4,802.06 and 10,056.38

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Solution

The third proportional to 4,802.06 and 10,056.38 is: 21,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.06 : 10,056.38 = 10,056.38 : x
  2. Step 2: Convert to fraction form
    4,802.06/10,056.38 = 10,056.38/x
  3. Step 3: Cross multiply
    4,802.06x = 10,056.38 × 10,056.38
  4. Step 4: Simplify right side
    4,802.06x = 101,130,678.14
  5. Step 5: Solve for x
    x = 101,130,678.14/4,802.06
  6. Step 6: Final answer
    x = 21,059.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.