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Finding the Third Proportional to 30,820 and 46,448

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Solution

The third proportional to 30,820 and 46,448 is: 70,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820 : 46,448 = 46,448 : x
  2. Step 2: Convert to fraction form
    30,820/46,448 = 46,448/x
  3. Step 3: Cross multiply
    30,820x = 46,448 × 46,448
  4. Step 4: Simplify right side
    30,820x = 2,157,416,704
  5. Step 5: Solve for x
    x = 2,157,416,704/30,820
  6. Step 6: Final answer
    x = 70,000.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.