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Finding the Third Proportional to 34,646 and 74,590

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Solution

The third proportional to 34,646 and 74,590 is: 160,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,646 : 74,590 = 74,590 : x
  2. Step 2: Convert to fraction form
    34,646/74,590 = 74,590/x
  3. Step 3: Cross multiply
    34,646x = 74,590 × 74,590
  4. Step 4: Simplify right side
    34,646x = 5,563,668,100
  5. Step 5: Solve for x
    x = 5,563,668,100/34,646
  6. Step 6: Final answer
    x = 160,586.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.