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Finding the Third Proportional to 14,561 and 31,028.50

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Solution

The third proportional to 14,561 and 31,028.50 is: 66,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561 : 31,028.50 = 31,028.50 : x
  2. Step 2: Convert to fraction form
    14,561/31,028.50 = 31,028.50/x
  3. Step 3: Cross multiply
    14,561x = 31,028.50 × 31,028.50
  4. Step 4: Simplify right side
    14,561x = 962,767,812.25
  5. Step 5: Solve for x
    x = 962,767,812.25/14,561
  6. Step 6: Final answer
    x = 66,119.62

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.