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Finding the Third Proportional to 1,470.94 and 3,146.91

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Solution

The third proportional to 1,470.94 and 3,146.91 is: 6,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.94 : 3,146.91 = 3,146.91 : x
  2. Step 2: Convert to fraction form
    1,470.94/3,146.91 = 3,146.91/x
  3. Step 3: Cross multiply
    1,470.94x = 3,146.91 × 3,146.91
  4. Step 4: Simplify right side
    1,470.94x = 9,903,018.95
  5. Step 5: Solve for x
    x = 9,903,018.95/1,470.94
  6. Step 6: Final answer
    x = 6,732.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.