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Finding the Third Proportional to 30,776 and 47,062

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Solution

The third proportional to 30,776 and 47,062 is: 71,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776 : 47,062 = 47,062 : x
  2. Step 2: Convert to fraction form
    30,776/47,062 = 47,062/x
  3. Step 3: Cross multiply
    30,776x = 47,062 × 47,062
  4. Step 4: Simplify right side
    30,776x = 2,214,831,844
  5. Step 5: Solve for x
    x = 2,214,831,844/30,776
  6. Step 6: Final answer
    x = 71,966.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.