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Finding the Third Proportional to 34,578 and 47,547

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Solution

The third proportional to 34,578 and 47,547 is: 65,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,578 : 47,547 = 47,547 : x
  2. Step 2: Convert to fraction form
    34,578/47,547 = 47,547/x
  3. Step 3: Cross multiply
    34,578x = 47,547 × 47,547
  4. Step 4: Simplify right side
    34,578x = 2,260,717,209
  5. Step 5: Solve for x
    x = 2,260,717,209/34,578
  6. Step 6: Final answer
    x = 65,380.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.