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Finding the Third Proportional to 44,550 and 94,565

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Solution

The third proportional to 44,550 and 94,565 is: 200,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,550 : 94,565 = 94,565 : x
  2. Step 2: Convert to fraction form
    44,550/94,565 = 94,565/x
  3. Step 3: Cross multiply
    44,550x = 94,565 × 94,565
  4. Step 4: Simplify right side
    44,550x = 8,942,539,225
  5. Step 5: Solve for x
    x = 8,942,539,225/44,550
  6. Step 6: Final answer
    x = 200,730.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.