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Finding the Third Proportional to 29,770 and 65,492

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Solution

The third proportional to 29,770 and 65,492 is: 144,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770 : 65,492 = 65,492 : x
  2. Step 2: Convert to fraction form
    29,770/65,492 = 65,492/x
  3. Step 3: Cross multiply
    29,770x = 65,492 × 65,492
  4. Step 4: Simplify right side
    29,770x = 4,289,202,064
  5. Step 5: Solve for x
    x = 4,289,202,064/29,770
  6. Step 6: Final answer
    x = 144,078.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.