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Finding the Third Proportional to 30,862.50 and 46,725.75

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Solution

The third proportional to 30,862.50 and 46,725.75 is: 70,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.50 : 46,725.75 = 46,725.75 : x
  2. Step 2: Convert to fraction form
    30,862.50/46,725.75 = 46,725.75/x
  3. Step 3: Cross multiply
    30,862.50x = 46,725.75 × 46,725.75
  4. Step 4: Simplify right side
    30,862.50x = 2,183,295,713.06
  5. Step 5: Solve for x
    x = 2,183,295,713.06/30,862.50
  6. Step 6: Final answer
    x = 70,742.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.