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Finding the Third Proportional to 9,411.19 and 14,630.63

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Solution

The third proportional to 9,411.19 and 14,630.63 is: 22,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.19 : 14,630.63 = 14,630.63 : x
  2. Step 2: Convert to fraction form
    9,411.19/14,630.63 = 14,630.63/x
  3. Step 3: Cross multiply
    9,411.19x = 14,630.63 × 14,630.63
  4. Step 4: Simplify right side
    9,411.19x = 214,055,187.89
  5. Step 5: Solve for x
    x = 214,055,187.89/9,411.19
  6. Step 6: Final answer
    x = 22,744.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.