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Finding the Third Proportional to 14,776.10 and 32,063.98

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Solution

The third proportional to 14,776.10 and 32,063.98 is: 69,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.10 : 32,063.98 = 32,063.98 : x
  2. Step 2: Convert to fraction form
    14,776.10/32,063.98 = 32,063.98/x
  3. Step 3: Cross multiply
    14,776.10x = 32,063.98 × 32,063.98
  4. Step 4: Simplify right side
    14,776.10x = 1,028,098,593.00
  5. Step 5: Solve for x
    x = 1,028,098,593.00/14,776.10
  6. Step 6: Final answer
    x = 69,578.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.