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Finding the Third Proportional to 29,670 and 45,925

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Solution

The third proportional to 29,670 and 45,925 is: 71,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,670 : 45,925 = 45,925 : x
  2. Step 2: Convert to fraction form
    29,670/45,925 = 45,925/x
  3. Step 3: Cross multiply
    29,670x = 45,925 × 45,925
  4. Step 4: Simplify right side
    29,670x = 2,109,105,625
  5. Step 5: Solve for x
    x = 2,109,105,625/29,670
  6. Step 6: Final answer
    x = 71,085.46

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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.