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Finding the Third Proportional to 42,740 and 66,350

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Solution

The third proportional to 42,740 and 66,350 is: 103,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,740 : 66,350 = 66,350 : x
  2. Step 2: Convert to fraction form
    42,740/66,350 = 66,350/x
  3. Step 3: Cross multiply
    42,740x = 66,350 × 66,350
  4. Step 4: Simplify right side
    42,740x = 4,402,322,500
  5. Step 5: Solve for x
    x = 4,402,322,500/42,740
  6. Step 6: Final answer
    x = 103,002.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.