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Finding the Third Proportional to 31,142.63 and 46,668.38

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Solution

The third proportional to 31,142.63 and 46,668.38 is: 69,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.63 : 46,668.38 = 46,668.38 : x
  2. Step 2: Convert to fraction form
    31,142.63/46,668.38 = 46,668.38/x
  3. Step 3: Cross multiply
    31,142.63x = 46,668.38 × 46,668.38
  4. Step 4: Simplify right side
    31,142.63x = 2,177,937,225.14
  5. Step 5: Solve for x
    x = 2,177,937,225.14/31,142.63
  6. Step 6: Final answer
    x = 69,934.29

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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.