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Finding the Third Proportional to 30,454 and 65,732

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Solution

The third proportional to 30,454 and 65,732 is: 141,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454 : 65,732 = 65,732 : x
  2. Step 2: Convert to fraction form
    30,454/65,732 = 65,732/x
  3. Step 3: Cross multiply
    30,454x = 65,732 × 65,732
  4. Step 4: Simplify right side
    30,454x = 4,320,695,824
  5. Step 5: Solve for x
    x = 4,320,695,824/30,454
  6. Step 6: Final answer
    x = 141,876.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.