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Finding the Third Proportional to 15,905 and 36,545

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Solution

The third proportional to 15,905 and 36,545 is: 83,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905 : 36,545 = 36,545 : x
  2. Step 2: Convert to fraction form
    15,905/36,545 = 36,545/x
  3. Step 3: Cross multiply
    15,905x = 36,545 × 36,545
  4. Step 4: Simplify right side
    15,905x = 1,335,537,025
  5. Step 5: Solve for x
    x = 1,335,537,025/15,905
  6. Step 6: Final answer
    x = 83,969.63

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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.