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Finding the Third Proportional to 4,802.06 and 9,842.63

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Solution

The third proportional to 4,802.06 and 9,842.63 is: 20,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.06 : 9,842.63 = 9,842.63 : x
  2. Step 2: Convert to fraction form
    4,802.06/9,842.63 = 9,842.63/x
  3. Step 3: Cross multiply
    4,802.06x = 9,842.63 × 9,842.63
  4. Step 4: Simplify right side
    4,802.06x = 96,877,266.89
  5. Step 5: Solve for x
    x = 96,877,266.89/4,802.06
  6. Step 6: Final answer
    x = 20,174.10

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.