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Finding the Third Proportional to 30,222 and 34,915.50

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Solution

The third proportional to 30,222 and 34,915.50 is: 40,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222 : 34,915.50 = 34,915.50 : x
  2. Step 2: Convert to fraction form
    30,222/34,915.50 = 34,915.50/x
  3. Step 3: Cross multiply
    30,222x = 34,915.50 × 34,915.50
  4. Step 4: Simplify right side
    30,222x = 1,219,092,140.25
  5. Step 5: Solve for x
    x = 1,219,092,140.25/30,222
  6. Step 6: Final answer
    x = 40,337.90

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.