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Finding the Third Proportional to 9,735.40 and 21,272.68

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Solution

The third proportional to 9,735.40 and 21,272.68 is: 46,482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.40 : 21,272.68 = 21,272.68 : x
  2. Step 2: Convert to fraction form
    9,735.40/21,272.68 = 21,272.68/x
  3. Step 3: Cross multiply
    9,735.40x = 21,272.68 × 21,272.68
  4. Step 4: Simplify right side
    9,735.40x = 452,526,817.99
  5. Step 5: Solve for x
    x = 452,526,817.99/9,735.40
  6. Step 6: Final answer
    x = 46,482.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.