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Finding the Third Proportional to 13,640 and 29,557

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Solution

The third proportional to 13,640 and 29,557 is: 64,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640 : 29,557 = 29,557 : x
  2. Step 2: Convert to fraction form
    13,640/29,557 = 29,557/x
  3. Step 3: Cross multiply
    13,640x = 29,557 × 29,557
  4. Step 4: Simplify right side
    13,640x = 873,616,249
  5. Step 5: Solve for x
    x = 873,616,249/13,640
  6. Step 6: Final answer
    x = 64,048.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.