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Finding the Third Proportional to 30,184 and 44,196

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Solution

The third proportional to 30,184 and 44,196 is: 64,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184 : 44,196 = 44,196 : x
  2. Step 2: Convert to fraction form
    30,184/44,196 = 44,196/x
  3. Step 3: Cross multiply
    30,184x = 44,196 × 44,196
  4. Step 4: Simplify right side
    30,184x = 1,953,286,416
  5. Step 5: Solve for x
    x = 1,953,286,416/30,184
  6. Step 6: Final answer
    x = 64,712.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.