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Finding the Third Proportional to 14,435 and 32,603.75

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Solution

The third proportional to 14,435 and 32,603.75 is: 73,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435 : 32,603.75 = 32,603.75 : x
  2. Step 2: Convert to fraction form
    14,435/32,603.75 = 32,603.75/x
  3. Step 3: Cross multiply
    14,435x = 32,603.75 × 32,603.75
  4. Step 4: Simplify right side
    14,435x = 1,063,004,514.06
  5. Step 5: Solve for x
    x = 1,063,004,514.06/14,435
  6. Step 6: Final answer
    x = 73,640.77

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.