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Finding the Third Proportional to 22,655.25 and 37,442.25

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Solution

The third proportional to 22,655.25 and 37,442.25 is: 61,880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655.25 : 37,442.25 = 37,442.25 : x
  2. Step 2: Convert to fraction form
    22,655.25/37,442.25 = 37,442.25/x
  3. Step 3: Cross multiply
    22,655.25x = 37,442.25 × 37,442.25
  4. Step 4: Simplify right side
    22,655.25x = 1,401,922,085.06
  5. Step 5: Solve for x
    x = 1,401,922,085.06/22,655.25
  6. Step 6: Final answer
    x = 61,880.67

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.