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Finding the Third Proportional to 30,080 and 46,796

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Solution

The third proportional to 30,080 and 46,796 is: 72,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,080 : 46,796 = 46,796 : x
  2. Step 2: Convert to fraction form
    30,080/46,796 = 46,796/x
  3. Step 3: Cross multiply
    30,080x = 46,796 × 46,796
  4. Step 4: Simplify right side
    30,080x = 2,189,865,616
  5. Step 5: Solve for x
    x = 2,189,865,616/30,080
  6. Step 6: Final answer
    x = 72,801.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.