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Finding the Third Proportional to 31,308 and 48,553

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Solution

The third proportional to 31,308 and 48,553 is: 75,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,308 : 48,553 = 48,553 : x
  2. Step 2: Convert to fraction form
    31,308/48,553 = 48,553/x
  3. Step 3: Cross multiply
    31,308x = 48,553 × 48,553
  4. Step 4: Simplify right side
    31,308x = 2,357,393,809
  5. Step 5: Solve for x
    x = 2,357,393,809/31,308
  6. Step 6: Final answer
    x = 75,296.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.