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Finding the Third Proportional to 15,149.63 and 32,718.75

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Solution

The third proportional to 15,149.63 and 32,718.75 is: 70,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149.63 : 32,718.75 = 32,718.75 : x
  2. Step 2: Convert to fraction form
    15,149.63/32,718.75 = 32,718.75/x
  3. Step 3: Cross multiply
    15,149.63x = 32,718.75 × 32,718.75
  4. Step 4: Simplify right side
    15,149.63x = 1,070,516,601.56
  5. Step 5: Solve for x
    x = 1,070,516,601.56/15,149.63
  6. Step 6: Final answer
    x = 70,662.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.