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Finding the Third Proportional to 44,548 and 66,603

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Solution

The third proportional to 44,548 and 66,603 is: 99,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,548 : 66,603 = 66,603 : x
  2. Step 2: Convert to fraction form
    44,548/66,603 = 66,603/x
  3. Step 3: Cross multiply
    44,548x = 66,603 × 66,603
  4. Step 4: Simplify right side
    44,548x = 4,435,959,609
  5. Step 5: Solve for x
    x = 4,435,959,609/44,548
  6. Step 6: Final answer
    x = 99,577.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.