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Finding the Third Proportional to 42,053.25 and 64,392.75

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Solution

The third proportional to 42,053.25 and 64,392.75 is: 98,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,053.25 : 64,392.75 = 64,392.75 : x
  2. Step 2: Convert to fraction form
    42,053.25/64,392.75 = 64,392.75/x
  3. Step 3: Cross multiply
    42,053.25x = 64,392.75 × 64,392.75
  4. Step 4: Simplify right side
    42,053.25x = 4,146,426,252.56
  5. Step 5: Solve for x
    x = 4,146,426,252.56/42,053.25
  6. Step 6: Final answer
    x = 98,599.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.