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Finding the Third Proportional to 47,603 and 66,948

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Solution

The third proportional to 47,603 and 66,948 is: 94,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,603 : 66,948 = 66,948 : x
  2. Step 2: Convert to fraction form
    47,603/66,948 = 66,948/x
  3. Step 3: Cross multiply
    47,603x = 66,948 × 66,948
  4. Step 4: Simplify right side
    47,603x = 4,482,034,704
  5. Step 5: Solve for x
    x = 4,482,034,704/47,603
  6. Step 6: Final answer
    x = 94,154.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.