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Finding the Third Proportional to 5,888 and 13,262

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Solution

The third proportional to 5,888 and 13,262 is: 29,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888 : 13,262 = 13,262 : x
  2. Step 2: Convert to fraction form
    5,888/13,262 = 13,262/x
  3. Step 3: Cross multiply
    5,888x = 13,262 × 13,262
  4. Step 4: Simplify right side
    5,888x = 175,880,644
  5. Step 5: Solve for x
    x = 175,880,644/5,888
  6. Step 6: Final answer
    x = 29,871.03

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.