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Finding the Third Proportional to 30,992.63 and 46,413

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Solution

The third proportional to 30,992.63 and 46,413 is: 69,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.63 : 46,413 = 46,413 : x
  2. Step 2: Convert to fraction form
    30,992.63/46,413 = 46,413/x
  3. Step 3: Cross multiply
    30,992.63x = 46,413 × 46,413
  4. Step 4: Simplify right side
    30,992.63x = 2,154,166,569
  5. Step 5: Solve for x
    x = 2,154,166,569/30,992.63
  6. Step 6: Final answer
    x = 69,505.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.