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Finding the Third Proportional to 31,336.50 and 45,276

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Solution

The third proportional to 31,336.50 and 45,276 is: 65,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,336.50 : 45,276 = 45,276 : x
  2. Step 2: Convert to fraction form
    31,336.50/45,276 = 45,276/x
  3. Step 3: Cross multiply
    31,336.50x = 45,276 × 45,276
  4. Step 4: Simplify right side
    31,336.50x = 2,049,916,176
  5. Step 5: Solve for x
    x = 2,049,916,176/31,336.50
  6. Step 6: Final answer
    x = 65,416.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.