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Finding the Third Proportional to 30,527 and 65,435

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Solution

The third proportional to 30,527 and 65,435 is: 140,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527 : 65,435 = 65,435 : x
  2. Step 2: Convert to fraction form
    30,527/65,435 = 65,435/x
  3. Step 3: Cross multiply
    30,527x = 65,435 × 65,435
  4. Step 4: Simplify right side
    30,527x = 4,281,739,225
  5. Step 5: Solve for x
    x = 4,281,739,225/30,527
  6. Step 6: Final answer
    x = 140,260.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.