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Finding the Third Proportional to 45,603 and 65,988

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Solution

The third proportional to 45,603 and 65,988 is: 95,485.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,603 : 65,988 = 65,988 : x
  2. Step 2: Convert to fraction form
    45,603/65,988 = 65,988/x
  3. Step 3: Cross multiply
    45,603x = 65,988 × 65,988
  4. Step 4: Simplify right side
    45,603x = 4,354,416,144
  5. Step 5: Solve for x
    x = 4,354,416,144/45,603
  6. Step 6: Final answer
    x = 95,485.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.