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Finding the Third Proportional to 31,703.91 and 48,748.08

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Solution

The third proportional to 31,703.91 and 48,748.08 is: 74,955.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,703.91 : 48,748.08 = 48,748.08 : x
  2. Step 2: Convert to fraction form
    31,703.91/48,748.08 = 48,748.08/x
  3. Step 3: Cross multiply
    31,703.91x = 48,748.08 × 48,748.08
  4. Step 4: Simplify right side
    31,703.91x = 2,376,375,120.88
  5. Step 5: Solve for x
    x = 2,376,375,120.88/31,703.91
  6. Step 6: Final answer
    x = 74,955.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.