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Finding the Third Proportional to 15,604 and 35,842

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Solution

The third proportional to 15,604 and 35,842 is: 82,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,604 : 35,842 = 35,842 : x
  2. Step 2: Convert to fraction form
    15,604/35,842 = 35,842/x
  3. Step 3: Cross multiply
    15,604x = 35,842 × 35,842
  4. Step 4: Simplify right side
    15,604x = 1,284,648,964
  5. Step 5: Solve for x
    x = 1,284,648,964/15,604
  6. Step 6: Final answer
    x = 82,328.18

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.