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Finding the Third Proportional to 30,678.75 and 45,046.13

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Solution

The third proportional to 30,678.75 and 45,046.13 is: 66,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.75 : 45,046.13 = 45,046.13 : x
  2. Step 2: Convert to fraction form
    30,678.75/45,046.13 = 45,046.13/x
  3. Step 3: Cross multiply
    30,678.75x = 45,046.13 × 45,046.13
  4. Step 4: Simplify right side
    30,678.75x = 2,029,153,377.52
  5. Step 5: Solve for x
    x = 2,029,153,377.52/30,678.75
  6. Step 6: Final answer
    x = 66,141.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.