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Finding the Third Proportional to 10,070.75 and 21,600.25

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Solution

The third proportional to 10,070.75 and 21,600.25 is: 46,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.75 : 21,600.25 = 21,600.25 : x
  2. Step 2: Convert to fraction form
    10,070.75/21,600.25 = 21,600.25/x
  3. Step 3: Cross multiply
    10,070.75x = 21,600.25 × 21,600.25
  4. Step 4: Simplify right side
    10,070.75x = 466,570,800.06
  5. Step 5: Solve for x
    x = 466,570,800.06/10,070.75
  6. Step 6: Final answer
    x = 46,329.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.