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Finding the Third Proportional to 30,534 and 48,259

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Solution

The third proportional to 30,534 and 48,259 is: 76,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534 : 48,259 = 48,259 : x
  2. Step 2: Convert to fraction form
    30,534/48,259 = 48,259/x
  3. Step 3: Cross multiply
    30,534x = 48,259 × 48,259
  4. Step 4: Simplify right side
    30,534x = 2,328,931,081
  5. Step 5: Solve for x
    x = 2,328,931,081/30,534
  6. Step 6: Final answer
    x = 76,273.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.