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Finding the Third Proportional to 42,573.38 and 64,449.56

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Solution

The third proportional to 42,573.38 and 64,449.56 is: 97,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,573.38 : 64,449.56 = 64,449.56 : x
  2. Step 2: Convert to fraction form
    42,573.38/64,449.56 = 64,449.56/x
  3. Step 3: Cross multiply
    42,573.38x = 64,449.56 × 64,449.56
  4. Step 4: Simplify right side
    42,573.38x = 4,153,746,106.44
  5. Step 5: Solve for x
    x = 4,153,746,106.44/42,573.38
  6. Step 6: Final answer
    x = 97,566.76

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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.