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Finding the Third Proportional to 15,146 and 30,905

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Solution

The third proportional to 15,146 and 30,905 is: 63,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146 : 30,905 = 30,905 : x
  2. Step 2: Convert to fraction form
    15,146/30,905 = 30,905/x
  3. Step 3: Cross multiply
    15,146x = 30,905 × 30,905
  4. Step 4: Simplify right side
    15,146x = 955,119,025
  5. Step 5: Solve for x
    x = 955,119,025/15,146
  6. Step 6: Final answer
    x = 63,060.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.