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Finding the Third Proportional to 30,314 and 65,454

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Solution

The third proportional to 30,314 and 65,454 is: 141,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314 : 65,454 = 65,454 : x
  2. Step 2: Convert to fraction form
    30,314/65,454 = 65,454/x
  3. Step 3: Cross multiply
    30,314x = 65,454 × 65,454
  4. Step 4: Simplify right side
    30,314x = 4,284,226,116
  5. Step 5: Solve for x
    x = 4,284,226,116/30,314
  6. Step 6: Final answer
    x = 141,328.30

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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.