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Finding the Third Proportional to 30,461.06 and 46,630.69

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Solution

The third proportional to 30,461.06 and 46,630.69 is: 71,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.06 : 46,630.69 = 46,630.69 : x
  2. Step 2: Convert to fraction form
    30,461.06/46,630.69 = 46,630.69/x
  3. Step 3: Cross multiply
    30,461.06x = 46,630.69 × 46,630.69
  4. Step 4: Simplify right side
    30,461.06x = 2,174,421,016.72
  5. Step 5: Solve for x
    x = 2,174,421,016.72/30,461.06
  6. Step 6: Final answer
    x = 71,383.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.