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Finding the Third Proportional to 5,010.47 and 10,823.91

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Solution

The third proportional to 5,010.47 and 10,823.91 is: 23,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.47 : 10,823.91 = 10,823.91 : x
  2. Step 2: Convert to fraction form
    5,010.47/10,823.91 = 10,823.91/x
  3. Step 3: Cross multiply
    5,010.47x = 10,823.91 × 10,823.91
  4. Step 4: Simplify right side
    5,010.47x = 117,156,946.51
  5. Step 5: Solve for x
    x = 117,156,946.51/5,010.47
  6. Step 6: Final answer
    x = 23,382.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.