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Finding the Third Proportional to 14,624.34 and 31,583.72

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Solution

The third proportional to 14,624.34 and 31,583.72 is: 68,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624.34 : 31,583.72 = 31,583.72 : x
  2. Step 2: Convert to fraction form
    14,624.34/31,583.72 = 31,583.72/x
  3. Step 3: Cross multiply
    14,624.34x = 31,583.72 × 31,583.72
  4. Step 4: Simplify right side
    14,624.34x = 997,531,290.08
  5. Step 5: Solve for x
    x = 997,531,290.08/14,624.34
  6. Step 6: Final answer
    x = 68,210.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.