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Finding the Third Proportional to 30,342 and 45,278

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Solution

The third proportional to 30,342 and 45,278 is: 67,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342 : 45,278 = 45,278 : x
  2. Step 2: Convert to fraction form
    30,342/45,278 = 45,278/x
  3. Step 3: Cross multiply
    30,342x = 45,278 × 45,278
  4. Step 4: Simplify right side
    30,342x = 2,050,097,284
  5. Step 5: Solve for x
    x = 2,050,097,284/30,342
  6. Step 6: Final answer
    x = 67,566.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.