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Finding the Third Proportional to 30,858 and 46,435

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Solution

The third proportional to 30,858 and 46,435 is: 69,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858 : 46,435 = 46,435 : x
  2. Step 2: Convert to fraction form
    30,858/46,435 = 46,435/x
  3. Step 3: Cross multiply
    30,858x = 46,435 × 46,435
  4. Step 4: Simplify right side
    30,858x = 2,156,209,225
  5. Step 5: Solve for x
    x = 2,156,209,225/30,858
  6. Step 6: Final answer
    x = 69,875.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.