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Finding the Third Proportional to 30,222 and 42,484.50

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Solution

The third proportional to 30,222 and 42,484.50 is: 59,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222 : 42,484.50 = 42,484.50 : x
  2. Step 2: Convert to fraction form
    30,222/42,484.50 = 42,484.50/x
  3. Step 3: Cross multiply
    30,222x = 42,484.50 × 42,484.50
  4. Step 4: Simplify right side
    30,222x = 1,804,932,740.25
  5. Step 5: Solve for x
    x = 1,804,932,740.25/30,222
  6. Step 6: Final answer
    x = 59,722.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.