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Finding the Third Proportional to 46,776 and 71,330

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Solution

The third proportional to 46,776 and 71,330 is: 108,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,776 : 71,330 = 71,330 : x
  2. Step 2: Convert to fraction form
    46,776/71,330 = 71,330/x
  3. Step 3: Cross multiply
    46,776x = 71,330 × 71,330
  4. Step 4: Simplify right side
    46,776x = 5,087,968,900
  5. Step 5: Solve for x
    x = 5,087,968,900/46,776
  6. Step 6: Final answer
    x = 108,773.07

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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.