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Finding the Third Proportional to 45,915.70 and 70,951.45

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Solution

The third proportional to 45,915.70 and 70,951.45 is: 109,638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,915.70 : 70,951.45 = 70,951.45 : x
  2. Step 2: Convert to fraction form
    45,915.70/70,951.45 = 70,951.45/x
  3. Step 3: Cross multiply
    45,915.70x = 70,951.45 × 70,951.45
  4. Step 4: Simplify right side
    45,915.70x = 5,034,108,700.55
  5. Step 5: Solve for x
    x = 5,034,108,700.55/45,915.70
  6. Step 6: Final answer
    x = 109,638.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.