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Finding the Third Proportional to 9,514.13 and 22,366.13

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Solution

The third proportional to 9,514.13 and 22,366.13 is: 52,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.13 : 22,366.13 = 22,366.13 : x
  2. Step 2: Convert to fraction form
    9,514.13/22,366.13 = 22,366.13/x
  3. Step 3: Cross multiply
    9,514.13x = 22,366.13 × 22,366.13
  4. Step 4: Simplify right side
    9,514.13x = 500,243,547.52
  5. Step 5: Solve for x
    x = 500,243,547.52/9,514.13
  6. Step 6: Final answer
    x = 52,579.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.