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Finding the Third Proportional to 10,442 and 22,525.75

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Solution

The third proportional to 10,442 and 22,525.75 is: 48,593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442 : 22,525.75 = 22,525.75 : x
  2. Step 2: Convert to fraction form
    10,442/22,525.75 = 22,525.75/x
  3. Step 3: Cross multiply
    10,442x = 22,525.75 × 22,525.75
  4. Step 4: Simplify right side
    10,442x = 507,409,413.06
  5. Step 5: Solve for x
    x = 507,409,413.06/10,442
  6. Step 6: Final answer
    x = 48,593.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.