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Finding the Third Proportional to 29,829 and 65,490

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Solution

The third proportional to 29,829 and 65,490 is: 143,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829 : 65,490 = 65,490 : x
  2. Step 2: Convert to fraction form
    29,829/65,490 = 65,490/x
  3. Step 3: Cross multiply
    29,829x = 65,490 × 65,490
  4. Step 4: Simplify right side
    29,829x = 4,288,940,100
  5. Step 5: Solve for x
    x = 4,288,940,100/29,829
  6. Step 6: Final answer
    x = 143,784.24

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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.