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Finding the Third Proportional to 15,590 and 34,102

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Solution

The third proportional to 15,590 and 34,102 is: 74,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,590 : 34,102 = 34,102 : x
  2. Step 2: Convert to fraction form
    15,590/34,102 = 34,102/x
  3. Step 3: Cross multiply
    15,590x = 34,102 × 34,102
  4. Step 4: Simplify right side
    15,590x = 1,162,946,404
  5. Step 5: Solve for x
    x = 1,162,946,404/15,590
  6. Step 6: Final answer
    x = 74,595.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.