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Finding the Third Proportional to 10,235.25 and 21,700.55

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Solution

The third proportional to 10,235.25 and 21,700.55 is: 46,009.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.25 : 21,700.55 = 21,700.55 : x
  2. Step 2: Convert to fraction form
    10,235.25/21,700.55 = 21,700.55/x
  3. Step 3: Cross multiply
    10,235.25x = 21,700.55 × 21,700.55
  4. Step 4: Simplify right side
    10,235.25x = 470,913,734.67
  5. Step 5: Solve for x
    x = 470,913,734.67/10,235.25
  6. Step 6: Final answer
    x = 46,009.01

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