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Finding the Third Proportional to 32,454 and 70,915.50

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Solution

The third proportional to 32,454 and 70,915.50 is: 154,958.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454 : 70,915.50 = 70,915.50 : x
  2. Step 2: Convert to fraction form
    32,454/70,915.50 = 70,915.50/x
  3. Step 3: Cross multiply
    32,454x = 70,915.50 × 70,915.50
  4. Step 4: Simplify right side
    32,454x = 5,029,008,140.25
  5. Step 5: Solve for x
    x = 5,029,008,140.25/32,454
  6. Step 6: Final answer
    x = 154,958.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.