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Finding the Third Proportional to 14,355 and 32,217.75

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Solution

The third proportional to 14,355 and 32,217.75 is: 72,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,355 : 32,217.75 = 32,217.75 : x
  2. Step 2: Convert to fraction form
    14,355/32,217.75 = 32,217.75/x
  3. Step 3: Cross multiply
    14,355x = 32,217.75 × 32,217.75
  4. Step 4: Simplify right side
    14,355x = 1,037,983,415.06
  5. Step 5: Solve for x
    x = 1,037,983,415.06/14,355
  6. Step 6: Final answer
    x = 72,308.14

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.