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Finding the Third Proportional to 30,848.63 and 67,362.19

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Solution

The third proportional to 30,848.63 and 67,362.19 is: 147,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,848.63 : 67,362.19 = 67,362.19 : x
  2. Step 2: Convert to fraction form
    30,848.63/67,362.19 = 67,362.19/x
  3. Step 3: Cross multiply
    30,848.63x = 67,362.19 × 67,362.19
  4. Step 4: Simplify right side
    30,848.63x = 4,537,664,304.79
  5. Step 5: Solve for x
    x = 4,537,664,304.79/30,848.63
  6. Step 6: Final answer
    x = 147,094.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.