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Finding the Third Proportional to 13,323.94 and 30,848.63

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Solution

The third proportional to 13,323.94 and 30,848.63 is: 71,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.94 : 30,848.63 = 30,848.63 : x
  2. Step 2: Convert to fraction form
    13,323.94/30,848.63 = 30,848.63/x
  3. Step 3: Cross multiply
    13,323.94x = 30,848.63 × 30,848.63
  4. Step 4: Simplify right side
    13,323.94x = 951,637,664.39
  5. Step 5: Solve for x
    x = 951,637,664.39/13,323.94
  6. Step 6: Final answer
    x = 71,423.16

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.