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Finding the Third Proportional to 23,421.66 and 51,123.66

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Solution

The third proportional to 23,421.66 and 51,123.66 is: 111,590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,421.66 : 51,123.66 = 51,123.66 : x
  2. Step 2: Convert to fraction form
    23,421.66/51,123.66 = 51,123.66/x
  3. Step 3: Cross multiply
    23,421.66x = 51,123.66 × 51,123.66
  4. Step 4: Simplify right side
    23,421.66x = 2,613,628,228.37
  5. Step 5: Solve for x
    x = 2,613,628,228.37/23,421.66
  6. Step 6: Final answer
    x = 111,590.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.