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Finding the Third Proportional to 35,348 and 76,915.50

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Solution

The third proportional to 35,348 and 76,915.50 is: 167,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,348 : 76,915.50 = 76,915.50 : x
  2. Step 2: Convert to fraction form
    35,348/76,915.50 = 76,915.50/x
  3. Step 3: Cross multiply
    35,348x = 76,915.50 × 76,915.50
  4. Step 4: Simplify right side
    35,348x = 5,915,994,140.25
  5. Step 5: Solve for x
    x = 5,915,994,140.25/35,348
  6. Step 6: Final answer
    x = 167,364.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.