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Finding the Third Proportional to 27,024.75 and 40,429.13

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Solution

The third proportional to 27,024.75 and 40,429.13 is: 60,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024.75 : 40,429.13 = 40,429.13 : x
  2. Step 2: Convert to fraction form
    27,024.75/40,429.13 = 40,429.13/x
  3. Step 3: Cross multiply
    27,024.75x = 40,429.13 × 40,429.13
  4. Step 4: Simplify right side
    27,024.75x = 1,634,514,148.27
  5. Step 5: Solve for x
    x = 1,634,514,148.27/27,024.75
  6. Step 6: Final answer
    x = 60,482.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.