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Finding the Third Proportional to 30,484.31 and 46,915.31

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Solution

The third proportional to 30,484.31 and 46,915.31 is: 72,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,484.31 : 46,915.31 = 46,915.31 : x
  2. Step 2: Convert to fraction form
    30,484.31/46,915.31 = 46,915.31/x
  3. Step 3: Cross multiply
    30,484.31x = 46,915.31 × 46,915.31
  4. Step 4: Simplify right side
    30,484.31x = 2,201,046,546.97
  5. Step 5: Solve for x
    x = 2,201,046,546.97/30,484.31
  6. Step 6: Final answer
    x = 72,202.60

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