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Finding the Third Proportional to 22,653 and 37,438.88

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Solution

The third proportional to 22,653 and 37,438.88 is: 61,875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653 : 37,438.88 = 37,438.88 : x
  2. Step 2: Convert to fraction form
    22,653/37,438.88 = 37,438.88/x
  3. Step 3: Cross multiply
    22,653x = 37,438.88 × 37,438.88
  4. Step 4: Simplify right side
    22,653x = 1,401,669,361.27
  5. Step 5: Solve for x
    x = 1,401,669,361.27/22,653
  6. Step 6: Final answer
    x = 61,875.66

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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.