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Finding the Third Proportional to 30,824 and 47,532

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Solution

The third proportional to 30,824 and 47,532 is: 73,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824 : 47,532 = 47,532 : x
  2. Step 2: Convert to fraction form
    30,824/47,532 = 47,532/x
  3. Step 3: Cross multiply
    30,824x = 47,532 × 47,532
  4. Step 4: Simplify right side
    30,824x = 2,259,291,024
  5. Step 5: Solve for x
    x = 2,259,291,024/30,824
  6. Step 6: Final answer
    x = 73,296.49

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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.