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Finding the Third Proportional to 42,628.50 and 64,536.75

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Solution

The third proportional to 42,628.50 and 64,536.75 is: 97,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,628.50 : 64,536.75 = 64,536.75 : x
  2. Step 2: Convert to fraction form
    42,628.50/64,536.75 = 64,536.75/x
  3. Step 3: Cross multiply
    42,628.50x = 64,536.75 × 64,536.75
  4. Step 4: Simplify right side
    42,628.50x = 4,164,992,100.56
  5. Step 5: Solve for x
    x = 4,164,992,100.56/42,628.50
  6. Step 6: Final answer
    x = 97,704.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.