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Finding the Third Proportional to 30,256 and 48,040

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Solution

The third proportional to 30,256 and 48,040 is: 76,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256 : 48,040 = 48,040 : x
  2. Step 2: Convert to fraction form
    30,256/48,040 = 48,040/x
  3. Step 3: Cross multiply
    30,256x = 48,040 × 48,040
  4. Step 4: Simplify right side
    30,256x = 2,307,841,600
  5. Step 5: Solve for x
    x = 2,307,841,600/30,256
  6. Step 6: Final answer
    x = 76,277.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.