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Finding the Third Proportional to 30,216 and 65,237.25

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Solution

The third proportional to 30,216 and 65,237.25 is: 140,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216 : 65,237.25 = 65,237.25 : x
  2. Step 2: Convert to fraction form
    30,216/65,237.25 = 65,237.25/x
  3. Step 3: Cross multiply
    30,216x = 65,237.25 × 65,237.25
  4. Step 4: Simplify right side
    30,216x = 4,255,898,787.56
  5. Step 5: Solve for x
    x = 4,255,898,787.56/30,216
  6. Step 6: Final answer
    x = 140,849.18

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1.5x scale

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.