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Finding the Third Proportional to 14,901.75 and 31,028.63

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Solution

The third proportional to 14,901.75 and 31,028.63 is: 64,608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901.75 : 31,028.63 = 31,028.63 : x
  2. Step 2: Convert to fraction form
    14,901.75/31,028.63 = 31,028.63/x
  3. Step 3: Cross multiply
    14,901.75x = 31,028.63 × 31,028.63
  4. Step 4: Simplify right side
    14,901.75x = 962,775,569.39
  5. Step 5: Solve for x
    x = 962,775,569.39/14,901.75
  6. Step 6: Final answer
    x = 64,608.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.