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Finding the Third Proportional to 30,476 and 45,714

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Solution

The third proportional to 30,476 and 45,714 is: 68,571

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476 : 45,714 = 45,714 : x
  2. Step 2: Convert to fraction form
    30,476/45,714 = 45,714/x
  3. Step 3: Cross multiply
    30,476x = 45,714 × 45,714
  4. Step 4: Simplify right side
    30,476x = 2,089,769,796
  5. Step 5: Solve for x
    x = 2,089,769,796/30,476
  6. Step 6: Final answer
    x = 68,571

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.