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Finding the Third Proportional to 16,388 and 35,557

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Solution

The third proportional to 16,388 and 35,557 is: 77,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,388 : 35,557 = 35,557 : x
  2. Step 2: Convert to fraction form
    16,388/35,557 = 35,557/x
  3. Step 3: Cross multiply
    16,388x = 35,557 × 35,557
  4. Step 4: Simplify right side
    16,388x = 1,264,300,249
  5. Step 5: Solve for x
    x = 1,264,300,249/16,388
  6. Step 6: Final answer
    x = 77,147.93

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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.