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Finding the Third Proportional to 14,784 and 32,055

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Solution

The third proportional to 14,784 and 32,055 is: 69,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784 : 32,055 = 32,055 : x
  2. Step 2: Convert to fraction form
    14,784/32,055 = 32,055/x
  3. Step 3: Cross multiply
    14,784x = 32,055 × 32,055
  4. Step 4: Simplify right side
    14,784x = 1,027,523,025
  5. Step 5: Solve for x
    x = 1,027,523,025/14,784
  6. Step 6: Final answer
    x = 69,502.37

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Why These Related Problems?

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