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Finding the Third Proportional to 22,547.25 and 35,097.75

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Solution

The third proportional to 22,547.25 and 35,097.75 is: 54,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.25 : 35,097.75 = 35,097.75 : x
  2. Step 2: Convert to fraction form
    22,547.25/35,097.75 = 35,097.75/x
  3. Step 3: Cross multiply
    22,547.25x = 35,097.75 × 35,097.75
  4. Step 4: Simplify right side
    22,547.25x = 1,231,852,055.06
  5. Step 5: Solve for x
    x = 1,231,852,055.06/22,547.25
  6. Step 6: Final answer
    x = 54,634.25

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.