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Finding the Third Proportional to 30,424 and 44,586

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Solution

The third proportional to 30,424 and 44,586 is: 65,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424 : 44,586 = 44,586 : x
  2. Step 2: Convert to fraction form
    30,424/44,586 = 44,586/x
  3. Step 3: Cross multiply
    30,424x = 44,586 × 44,586
  4. Step 4: Simplify right side
    30,424x = 1,987,911,396
  5. Step 5: Solve for x
    x = 1,987,911,396/30,424
  6. Step 6: Final answer
    x = 65,340.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.