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Finding the Third Proportional to 42,634.75 and 59,636.63

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Solution

The third proportional to 42,634.75 and 59,636.63 is: 83,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,634.75 : 59,636.63 = 59,636.63 : x
  2. Step 2: Convert to fraction form
    42,634.75/59,636.63 = 59,636.63/x
  3. Step 3: Cross multiply
    42,634.75x = 59,636.63 × 59,636.63
  4. Step 4: Simplify right side
    42,634.75x = 3,556,527,041.39
  5. Step 5: Solve for x
    x = 3,556,527,041.39/42,634.75
  6. Step 6: Final answer
    x = 83,418.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.