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Finding the Third Proportional to 13,547.25 and 17,979.75

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Solution

The third proportional to 13,547.25 and 17,979.75 is: 23,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.25 : 17,979.75 = 17,979.75 : x
  2. Step 2: Convert to fraction form
    13,547.25/17,979.75 = 17,979.75/x
  3. Step 3: Cross multiply
    13,547.25x = 17,979.75 × 17,979.75
  4. Step 4: Simplify right side
    13,547.25x = 323,271,410.06
  5. Step 5: Solve for x
    x = 323,271,410.06/13,547.25
  6. Step 6: Final answer
    x = 23,862.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.