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Finding the Third Proportional to 31,084 and 46,556

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Solution

The third proportional to 31,084 and 46,556 is: 69,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,084 : 46,556 = 46,556 : x
  2. Step 2: Convert to fraction form
    31,084/46,556 = 46,556/x
  3. Step 3: Cross multiply
    31,084x = 46,556 × 46,556
  4. Step 4: Simplify right side
    31,084x = 2,167,461,136
  5. Step 5: Solve for x
    x = 2,167,461,136/31,084
  6. Step 6: Final answer
    x = 69,729.16

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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.