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Finding the Third Proportional to 15,050 and 31,653

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Solution

The third proportional to 15,050 and 31,653 is: 66,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,050 : 31,653 = 31,653 : x
  2. Step 2: Convert to fraction form
    15,050/31,653 = 31,653/x
  3. Step 3: Cross multiply
    15,050x = 31,653 × 31,653
  4. Step 4: Simplify right side
    15,050x = 1,001,912,409
  5. Step 5: Solve for x
    x = 1,001,912,409/15,050
  6. Step 6: Final answer
    x = 66,572.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.