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Finding the Third Proportional to 30,226 and 65,829

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Solution

The third proportional to 30,226 and 65,829 is: 143,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226 : 65,829 = 65,829 : x
  2. Step 2: Convert to fraction form
    30,226/65,829 = 65,829/x
  3. Step 3: Cross multiply
    30,226x = 65,829 × 65,829
  4. Step 4: Simplify right side
    30,226x = 4,333,457,241
  5. Step 5: Solve for x
    x = 4,333,457,241/30,226
  6. Step 6: Final answer
    x = 143,368.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.