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Finding the Third Proportional to 4,974.47 and 10,726.03

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Solution

The third proportional to 4,974.47 and 10,726.03 is: 23,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.47 : 10,726.03 = 10,726.03 : x
  2. Step 2: Convert to fraction form
    4,974.47/10,726.03 = 10,726.03/x
  3. Step 3: Cross multiply
    4,974.47x = 10,726.03 × 10,726.03
  4. Step 4: Simplify right side
    4,974.47x = 115,047,746.38
  5. Step 5: Solve for x
    x = 115,047,746.38/4,974.47
  6. Step 6: Final answer
    x = 23,127.64

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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.