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Finding the Third Proportional to 18,832.14 and 40,547.08

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Solution

The third proportional to 18,832.14 and 40,547.08 is: 87,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,832.14 : 40,547.08 = 40,547.08 : x
  2. Step 2: Convert to fraction form
    18,832.14/40,547.08 = 40,547.08/x
  3. Step 3: Cross multiply
    18,832.14x = 40,547.08 × 40,547.08
  4. Step 4: Simplify right side
    18,832.14x = 1,644,065,868.05
  5. Step 5: Solve for x
    x = 1,644,065,868.05/18,832.14
  6. Step 6: Final answer
    x = 87,301.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.