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Finding the Third Proportional to 30,056 and 45,794

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Solution

The third proportional to 30,056 and 45,794 is: 69,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,056 : 45,794 = 45,794 : x
  2. Step 2: Convert to fraction form
    30,056/45,794 = 45,794/x
  3. Step 3: Cross multiply
    30,056x = 45,794 × 45,794
  4. Step 4: Simplify right side
    30,056x = 2,097,090,436
  5. Step 5: Solve for x
    x = 2,097,090,436/30,056
  6. Step 6: Final answer
    x = 69,772.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.