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Finding the Third Proportional to 14,295.23 and 29,598.54

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Solution

The third proportional to 14,295.23 and 29,598.54 is: 61,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,295.23 : 29,598.54 = 29,598.54 : x
  2. Step 2: Convert to fraction form
    14,295.23/29,598.54 = 29,598.54/x
  3. Step 3: Cross multiply
    14,295.23x = 29,598.54 × 29,598.54
  4. Step 4: Simplify right side
    14,295.23x = 876,073,514.63
  5. Step 5: Solve for x
    x = 876,073,514.63/14,295.23
  6. Step 6: Final answer
    x = 61,284.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.