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Finding the Third Proportional to 29,776 and 46,104

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Solution

The third proportional to 29,776 and 46,104 is: 71,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,776 : 46,104 = 46,104 : x
  2. Step 2: Convert to fraction form
    29,776/46,104 = 46,104/x
  3. Step 3: Cross multiply
    29,776x = 46,104 × 46,104
  4. Step 4: Simplify right side
    29,776x = 2,125,578,816
  5. Step 5: Solve for x
    x = 2,125,578,816/29,776
  6. Step 6: Final answer
    x = 71,385.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.