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Finding the Third Proportional to 2,948.27 and 4,300.91

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Solution

The third proportional to 2,948.27 and 4,300.91 is: 6,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.27 : 4,300.91 = 4,300.91 : x
  2. Step 2: Convert to fraction form
    2,948.27/4,300.91 = 4,300.91/x
  3. Step 3: Cross multiply
    2,948.27x = 4,300.91 × 4,300.91
  4. Step 4: Simplify right side
    2,948.27x = 18,497,828.17
  5. Step 5: Solve for x
    x = 18,497,828.17/2,948.27
  6. Step 6: Final answer
    x = 6,274.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.