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Finding the Third Proportional to 45,765 and 70,924.50

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Solution

The third proportional to 45,765 and 70,924.50 is: 109,915.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,765 : 70,924.50 = 70,924.50 : x
  2. Step 2: Convert to fraction form
    45,765/70,924.50 = 70,924.50/x
  3. Step 3: Cross multiply
    45,765x = 70,924.50 × 70,924.50
  4. Step 4: Simplify right side
    45,765x = 5,030,284,700.25
  5. Step 5: Solve for x
    x = 5,030,284,700.25/45,765
  6. Step 6: Final answer
    x = 109,915.54

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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.