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Finding the Third Proportional to 14,355 and 16,315.50

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Solution

The third proportional to 14,355 and 16,315.50 is: 18,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,355 : 16,315.50 = 16,315.50 : x
  2. Step 2: Convert to fraction form
    14,355/16,315.50 = 16,315.50/x
  3. Step 3: Cross multiply
    14,355x = 16,315.50 × 16,315.50
  4. Step 4: Simplify right side
    14,355x = 266,195,540.25
  5. Step 5: Solve for x
    x = 266,195,540.25/14,355
  6. Step 6: Final answer
    x = 18,543.75

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.