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Finding the Third Proportional to 30,709.50 and 66,823.50

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Solution

The third proportional to 30,709.50 and 66,823.50 is: 145,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.50 : 66,823.50 = 66,823.50 : x
  2. Step 2: Convert to fraction form
    30,709.50/66,823.50 = 66,823.50/x
  3. Step 3: Cross multiply
    30,709.50x = 66,823.50 × 66,823.50
  4. Step 4: Simplify right side
    30,709.50x = 4,465,380,152.25
  5. Step 5: Solve for x
    x = 4,465,380,152.25/30,709.50
  6. Step 6: Final answer
    x = 145,407.13

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Why These Related Problems?

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