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Finding the Third Proportional to 24,045.19 and 52,514.16

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Solution

The third proportional to 24,045.19 and 52,514.16 is: 114,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,045.19 : 52,514.16 = 52,514.16 : x
  2. Step 2: Convert to fraction form
    24,045.19/52,514.16 = 52,514.16/x
  3. Step 3: Cross multiply
    24,045.19x = 52,514.16 × 52,514.16
  4. Step 4: Simplify right side
    24,045.19x = 2,757,736,606.65
  5. Step 5: Solve for x
    x = 2,757,736,606.65/24,045.19
  6. Step 6: Final answer
    x = 114,689.75

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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.