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Finding the Third Proportional to 30,762 and 47,526

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Solution

The third proportional to 30,762 and 47,526 is: 73,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762 : 47,526 = 47,526 : x
  2. Step 2: Convert to fraction form
    30,762/47,526 = 47,526/x
  3. Step 3: Cross multiply
    30,762x = 47,526 × 47,526
  4. Step 4: Simplify right side
    30,762x = 2,258,720,676
  5. Step 5: Solve for x
    x = 2,258,720,676/30,762
  6. Step 6: Final answer
    x = 73,425.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.