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Finding the Third Proportional to 22,655.25 and 53,303.63

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Solution

The third proportional to 22,655.25 and 53,303.63 is: 125,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655.25 : 53,303.63 = 53,303.63 : x
  2. Step 2: Convert to fraction form
    22,655.25/53,303.63 = 53,303.63/x
  3. Step 3: Cross multiply
    22,655.25x = 53,303.63 × 53,303.63
  4. Step 4: Simplify right side
    22,655.25x = 2,841,276,438.14
  5. Step 5: Solve for x
    x = 2,841,276,438.14/22,655.25
  6. Step 6: Final answer
    x = 125,413.60

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.