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Finding the Third Proportional to 23,830.45 and 51,354.63

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Solution

The third proportional to 23,830.45 and 51,354.63 is: 110,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.45 : 51,354.63 = 51,354.63 : x
  2. Step 2: Convert to fraction form
    23,830.45/51,354.63 = 51,354.63/x
  3. Step 3: Cross multiply
    23,830.45x = 51,354.63 × 51,354.63
  4. Step 4: Simplify right side
    23,830.45x = 2,637,298,311.31
  5. Step 5: Solve for x
    x = 2,637,298,311.31/23,830.45
  6. Step 6: Final answer
    x = 110,669.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.