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Finding the Third Proportional to 50,476 and 70,594

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Solution

The third proportional to 50,476 and 70,594 is: 98,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,476 : 70,594 = 70,594 : x
  2. Step 2: Convert to fraction form
    50,476/70,594 = 70,594/x
  3. Step 3: Cross multiply
    50,476x = 70,594 × 70,594
  4. Step 4: Simplify right side
    50,476x = 4,983,512,836
  5. Step 5: Solve for x
    x = 4,983,512,836/50,476
  6. Step 6: Final answer
    x = 98,730.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.