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Finding the Third Proportional to 14,384.81 and 22,898.81

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Solution

The third proportional to 14,384.81 and 22,898.81 is: 36,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.81 : 22,898.81 = 22,898.81 : x
  2. Step 2: Convert to fraction form
    14,384.81/22,898.81 = 22,898.81/x
  3. Step 3: Cross multiply
    14,384.81x = 22,898.81 × 22,898.81
  4. Step 4: Simplify right side
    14,384.81x = 524,355,613.91
  5. Step 5: Solve for x
    x = 524,355,613.91/14,384.81
  6. Step 6: Final answer
    x = 36,452.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.