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Finding the Third Proportional to 14,557.22 and 31,870.97

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Solution

The third proportional to 14,557.22 and 31,870.97 is: 69,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.22 : 31,870.97 = 31,870.97 : x
  2. Step 2: Convert to fraction form
    14,557.22/31,870.97 = 31,870.97/x
  3. Step 3: Cross multiply
    14,557.22x = 31,870.97 × 31,870.97
  4. Step 4: Simplify right side
    14,557.22x = 1,015,758,649.06
  5. Step 5: Solve for x
    x = 1,015,758,649.06/14,557.22
  6. Step 6: Final answer
    x = 69,776.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.