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Finding the Third Proportional to 14,901.38 and 32,222.63

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Solution

The third proportional to 14,901.38 and 32,222.63 is: 69,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901.38 : 32,222.63 = 32,222.63 : x
  2. Step 2: Convert to fraction form
    14,901.38/32,222.63 = 32,222.63/x
  3. Step 3: Cross multiply
    14,901.38x = 32,222.63 × 32,222.63
  4. Step 4: Simplify right side
    14,901.38x = 1,038,297,561.89
  5. Step 5: Solve for x
    x = 1,038,297,561.89/14,901.38
  6. Step 6: Final answer
    x = 69,677.97

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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.