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Finding the Third Proportional to 30,207.94 and 46,678.78

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Solution

The third proportional to 30,207.94 and 46,678.78 is: 72,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.94 : 46,678.78 = 46,678.78 : x
  2. Step 2: Convert to fraction form
    30,207.94/46,678.78 = 46,678.78/x
  3. Step 3: Cross multiply
    30,207.94x = 46,678.78 × 46,678.78
  4. Step 4: Simplify right side
    30,207.94x = 2,178,908,618.99
  5. Step 5: Solve for x
    x = 2,178,908,618.99/30,207.94
  6. Step 6: Final answer
    x = 72,130.33

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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.