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Finding the Third Proportional to 15,587 and 33,045

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Solution

The third proportional to 15,587 and 33,045 is: 70,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,587 : 33,045 = 33,045 : x
  2. Step 2: Convert to fraction form
    15,587/33,045 = 33,045/x
  3. Step 3: Cross multiply
    15,587x = 33,045 × 33,045
  4. Step 4: Simplify right side
    15,587x = 1,091,972,025
  5. Step 5: Solve for x
    x = 1,091,972,025/15,587
  6. Step 6: Final answer
    x = 70,056.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.