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Finding the Third Proportional to 14,629.50 and 31,001.63

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Solution

The third proportional to 14,629.50 and 31,001.63 is: 65,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,629.50 : 31,001.63 = 31,001.63 : x
  2. Step 2: Convert to fraction form
    14,629.50/31,001.63 = 31,001.63/x
  3. Step 3: Cross multiply
    14,629.50x = 31,001.63 × 31,001.63
  4. Step 4: Simplify right side
    14,629.50x = 961,100,752.64
  5. Step 5: Solve for x
    x = 961,100,752.64/14,629.50
  6. Step 6: Final answer
    x = 65,696.08

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.