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Finding the Third Proportional to 30,263.63 and 45,668.81

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Solution

The third proportional to 30,263.63 and 45,668.81 is: 68,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,263.63 : 45,668.81 = 45,668.81 : x
  2. Step 2: Convert to fraction form
    30,263.63/45,668.81 = 45,668.81/x
  3. Step 3: Cross multiply
    30,263.63x = 45,668.81 × 45,668.81
  4. Step 4: Simplify right side
    30,263.63x = 2,085,640,435.16
  5. Step 5: Solve for x
    x = 2,085,640,435.16/30,263.63
  6. Step 6: Final answer
    x = 68,915.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.