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Finding the Third Proportional to 1,097.63 and 2,330.25

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Solution

The third proportional to 1,097.63 and 2,330.25 is: 4,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.63 : 2,330.25 = 2,330.25 : x
  2. Step 2: Convert to fraction form
    1,097.63/2,330.25 = 2,330.25/x
  3. Step 3: Cross multiply
    1,097.63x = 2,330.25 × 2,330.25
  4. Step 4: Simplify right side
    1,097.63x = 5,430,065.06
  5. Step 5: Solve for x
    x = 5,430,065.06/1,097.63
  6. Step 6: Final answer
    x = 4,947.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.