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Finding the Third Proportional to 14,595 and 22,642.50

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Solution

The third proportional to 14,595 and 22,642.50 is: 35,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595 : 22,642.50 = 22,642.50 : x
  2. Step 2: Convert to fraction form
    14,595/22,642.50 = 22,642.50/x
  3. Step 3: Cross multiply
    14,595x = 22,642.50 × 22,642.50
  4. Step 4: Simplify right side
    14,595x = 512,682,806.25
  5. Step 5: Solve for x
    x = 512,682,806.25/14,595
  6. Step 6: Final answer
    x = 35,127.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.