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Finding the Third Proportional to 14,559.47 and 31,499.16

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Solution

The third proportional to 14,559.47 and 31,499.16 is: 68,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,559.47 : 31,499.16 = 31,499.16 : x
  2. Step 2: Convert to fraction form
    14,559.47/31,499.16 = 31,499.16/x
  3. Step 3: Cross multiply
    14,559.47x = 31,499.16 × 31,499.16
  4. Step 4: Simplify right side
    14,559.47x = 992,196,844.46
  5. Step 5: Solve for x
    x = 992,196,844.46/14,559.47
  6. Step 6: Final answer
    x = 68,147.87

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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.