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Finding the Third Proportional to 30,222 and 46,654.50

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Solution

The third proportional to 30,222 and 46,654.50 is: 72,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222 : 46,654.50 = 46,654.50 : x
  2. Step 2: Convert to fraction form
    30,222/46,654.50 = 46,654.50/x
  3. Step 3: Cross multiply
    30,222x = 46,654.50 × 46,654.50
  4. Step 4: Simplify right side
    30,222x = 2,176,642,370.25
  5. Step 5: Solve for x
    x = 2,176,642,370.25/30,222
  6. Step 6: Final answer
    x = 72,021.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.