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Finding the Third Proportional to 30,238.31 and 46,916.72

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Solution

The third proportional to 30,238.31 and 46,916.72 is: 72,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,238.31 : 46,916.72 = 46,916.72 : x
  2. Step 2: Convert to fraction form
    30,238.31/46,916.72 = 46,916.72/x
  3. Step 3: Cross multiply
    30,238.31x = 46,916.72 × 46,916.72
  4. Step 4: Simplify right side
    30,238.31x = 2,201,178,498.27
  5. Step 5: Solve for x
    x = 2,201,178,498.27/30,238.31
  6. Step 6: Final answer
    x = 72,794.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.