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Finding the Third Proportional to 23,568.47 and 53,301.80

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Solution

The third proportional to 23,568.47 and 53,301.80 is: 120,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,568.47 : 53,301.80 = 53,301.80 : x
  2. Step 2: Convert to fraction form
    23,568.47/53,301.80 = 53,301.80/x
  3. Step 3: Cross multiply
    23,568.47x = 53,301.80 × 53,301.80
  4. Step 4: Simplify right side
    23,568.47x = 2,841,081,550.10
  5. Step 5: Solve for x
    x = 2,841,081,550.10/23,568.47
  6. Step 6: Final answer
    x = 120,545.87

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.