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Finding the Third Proportional to 30,112 and 46,464

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Solution

The third proportional to 30,112 and 46,464 is: 71,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,112 : 46,464 = 46,464 : x
  2. Step 2: Convert to fraction form
    30,112/46,464 = 46,464/x
  3. Step 3: Cross multiply
    30,112x = 46,464 × 46,464
  4. Step 4: Simplify right side
    30,112x = 2,158,903,296
  5. Step 5: Solve for x
    x = 2,158,903,296/30,112
  6. Step 6: Final answer
    x = 71,695.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.