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Finding the Third Proportional to 22,482.75 and 32,385

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Solution

The third proportional to 22,482.75 and 32,385 is: 46,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482.75 : 32,385 = 32,385 : x
  2. Step 2: Convert to fraction form
    22,482.75/32,385 = 32,385/x
  3. Step 3: Cross multiply
    22,482.75x = 32,385 × 32,385
  4. Step 4: Simplify right side
    22,482.75x = 1,048,788,225
  5. Step 5: Solve for x
    x = 1,048,788,225/22,482.75
  6. Step 6: Final answer
    x = 46,648.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.