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Finding the Third Proportional to 15,562 and 35,989

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Solution

The third proportional to 15,562 and 35,989 is: 83,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,562 : 35,989 = 35,989 : x
  2. Step 2: Convert to fraction form
    15,562/35,989 = 35,989/x
  3. Step 3: Cross multiply
    15,562x = 35,989 × 35,989
  4. Step 4: Simplify right side
    15,562x = 1,295,208,121
  5. Step 5: Solve for x
    x = 1,295,208,121/15,562
  6. Step 6: Final answer
    x = 83,228.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.