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Finding the Third Proportional to 8,948.81 and 13,658.63

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Solution

The third proportional to 8,948.81 and 13,658.63 is: 20,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.81 : 13,658.63 = 13,658.63 : x
  2. Step 2: Convert to fraction form
    8,948.81/13,658.63 = 13,658.63/x
  3. Step 3: Cross multiply
    8,948.81x = 13,658.63 × 13,658.63
  4. Step 4: Simplify right side
    8,948.81x = 186,558,036.89
  5. Step 5: Solve for x
    x = 186,558,036.89/8,948.81
  6. Step 6: Final answer
    x = 20,847.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.