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Finding the Third Proportional to 25,962.50 and 56,603

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Solution

The third proportional to 25,962.50 and 56,603 is: 123,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,962.50 : 56,603 = 56,603 : x
  2. Step 2: Convert to fraction form
    25,962.50/56,603 = 56,603/x
  3. Step 3: Cross multiply
    25,962.50x = 56,603 × 56,603
  4. Step 4: Simplify right side
    25,962.50x = 3,203,899,609
  5. Step 5: Solve for x
    x = 3,203,899,609/25,962.50
  6. Step 6: Final answer
    x = 123,404.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.