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Finding the Third Proportional to 15,673.50 and 33,746.63

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Solution

The third proportional to 15,673.50 and 33,746.63 is: 72,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,673.50 : 33,746.63 = 33,746.63 : x
  2. Step 2: Convert to fraction form
    15,673.50/33,746.63 = 33,746.63/x
  3. Step 3: Cross multiply
    15,673.50x = 33,746.63 × 33,746.63
  4. Step 4: Simplify right side
    15,673.50x = 1,138,834,698.89
  5. Step 5: Solve for x
    x = 1,138,834,698.89/15,673.50
  6. Step 6: Final answer
    x = 72,659.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.