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Finding the Third Proportional to 15,573 and 36,560.06

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Solution

The third proportional to 15,573 and 36,560.06 is: 85,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,573 : 36,560.06 = 36,560.06 : x
  2. Step 2: Convert to fraction form
    15,573/36,560.06 = 36,560.06/x
  3. Step 3: Cross multiply
    15,573x = 36,560.06 × 36,560.06
  4. Step 4: Simplify right side
    15,573x = 1,336,638,170.00
  5. Step 5: Solve for x
    x = 1,336,638,170.00/15,573
  6. Step 6: Final answer
    x = 85,830.49

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.