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Finding the Third Proportional to 31,454 and 48,276

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Solution

The third proportional to 31,454 and 48,276 is: 74,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,454 : 48,276 = 48,276 : x
  2. Step 2: Convert to fraction form
    31,454/48,276 = 48,276/x
  3. Step 3: Cross multiply
    31,454x = 48,276 × 48,276
  4. Step 4: Simplify right side
    31,454x = 2,330,572,176
  5. Step 5: Solve for x
    x = 2,330,572,176/31,454
  6. Step 6: Final answer
    x = 74,094.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.