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Finding the Third Proportional to 30,362 and 43,340

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Solution

The third proportional to 30,362 and 43,340 is: 61,865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,362 : 43,340 = 43,340 : x
  2. Step 2: Convert to fraction form
    30,362/43,340 = 43,340/x
  3. Step 3: Cross multiply
    30,362x = 43,340 × 43,340
  4. Step 4: Simplify right side
    30,362x = 1,878,355,600
  5. Step 5: Solve for x
    x = 1,878,355,600/30,362
  6. Step 6: Final answer
    x = 61,865.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.