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Finding the Third Proportional to 42,738.75 and 66,347.63

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Solution

The third proportional to 42,738.75 and 66,347.63 is: 102,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,738.75 : 66,347.63 = 66,347.63 : x
  2. Step 2: Convert to fraction form
    42,738.75/66,347.63 = 66,347.63/x
  3. Step 3: Cross multiply
    42,738.75x = 66,347.63 × 66,347.63
  4. Step 4: Simplify right side
    42,738.75x = 4,402,007,343.14
  5. Step 5: Solve for x
    x = 4,402,007,343.14/42,738.75
  6. Step 6: Final answer
    x = 102,998.04

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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.