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Finding the Third Proportional to 43,053 and 64,578

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Solution

The third proportional to 43,053 and 64,578 is: 96,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,053 : 64,578 = 64,578 : x
  2. Step 2: Convert to fraction form
    43,053/64,578 = 64,578/x
  3. Step 3: Cross multiply
    43,053x = 64,578 × 64,578
  4. Step 4: Simplify right side
    43,053x = 4,170,318,084
  5. Step 5: Solve for x
    x = 4,170,318,084/43,053
  6. Step 6: Final answer
    x = 96,864.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.