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Finding the Third Proportional to 30,216.50 and 65,237

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Solution

The third proportional to 30,216.50 and 65,237 is: 140,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216.50 : 65,237 = 65,237 : x
  2. Step 2: Convert to fraction form
    30,216.50/65,237 = 65,237/x
  3. Step 3: Cross multiply
    30,216.50x = 65,237 × 65,237
  4. Step 4: Simplify right side
    30,216.50x = 4,255,866,169
  5. Step 5: Solve for x
    x = 4,255,866,169/30,216.50
  6. Step 6: Final answer
    x = 140,845.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.