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Finding the Third Proportional to 30,320 and 65,466

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Solution

The third proportional to 30,320 and 65,466 is: 141,352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,320 : 65,466 = 65,466 : x
  2. Step 2: Convert to fraction form
    30,320/65,466 = 65,466/x
  3. Step 3: Cross multiply
    30,320x = 65,466 × 65,466
  4. Step 4: Simplify right side
    30,320x = 4,285,797,156
  5. Step 5: Solve for x
    x = 4,285,797,156/30,320
  6. Step 6: Final answer
    x = 141,352.15

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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.