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Finding the Third Proportional to 14,318.65 and 31,460.06

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Solution

The third proportional to 14,318.65 and 31,460.06 is: 69,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,318.65 : 31,460.06 = 31,460.06 : x
  2. Step 2: Convert to fraction form
    14,318.65/31,460.06 = 31,460.06/x
  3. Step 3: Cross multiply
    14,318.65x = 31,460.06 × 31,460.06
  4. Step 4: Simplify right side
    14,318.65x = 989,735,532.50
  5. Step 5: Solve for x
    x = 989,735,532.50/14,318.65
  6. Step 6: Final answer
    x = 69,122.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.