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Finding the Third Proportional to 42,994 and 66,436

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Solution

The third proportional to 42,994 and 66,436 is: 102,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,994 : 66,436 = 66,436 : x
  2. Step 2: Convert to fraction form
    42,994/66,436 = 66,436/x
  3. Step 3: Cross multiply
    42,994x = 66,436 × 66,436
  4. Step 4: Simplify right side
    42,994x = 4,413,742,096
  5. Step 5: Solve for x
    x = 4,413,742,096/42,994
  6. Step 6: Final answer
    x = 102,659.49

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