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Finding the Third Proportional to 30,890 and 46,470

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Solution

The third proportional to 30,890 and 46,470 is: 69,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890 : 46,470 = 46,470 : x
  2. Step 2: Convert to fraction form
    30,890/46,470 = 46,470/x
  3. Step 3: Cross multiply
    30,890x = 46,470 × 46,470
  4. Step 4: Simplify right side
    30,890x = 2,159,460,900
  5. Step 5: Solve for x
    x = 2,159,460,900/30,890
  6. Step 6: Final answer
    x = 69,908.09

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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.