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Finding the Third Proportional to 14,223.09 and 30,898.97

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Solution

The third proportional to 14,223.09 and 30,898.97 is: 67,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.09 : 30,898.97 = 30,898.97 : x
  2. Step 2: Convert to fraction form
    14,223.09/30,898.97 = 30,898.97/x
  3. Step 3: Cross multiply
    14,223.09x = 30,898.97 × 30,898.97
  4. Step 4: Simplify right side
    14,223.09x = 954,746,269.81
  5. Step 5: Solve for x
    x = 954,746,269.81/14,223.09
  6. Step 6: Final answer
    x = 67,126.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.