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Finding the Third Proportional to 30,464 and 45,696

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Solution

The third proportional to 30,464 and 45,696 is: 68,544

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464 : 45,696 = 45,696 : x
  2. Step 2: Convert to fraction form
    30,464/45,696 = 45,696/x
  3. Step 3: Cross multiply
    30,464x = 45,696 × 45,696
  4. Step 4: Simplify right side
    30,464x = 2,088,124,416
  5. Step 5: Solve for x
    x = 2,088,124,416/30,464
  6. Step 6: Final answer
    x = 68,544

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.