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Finding the Third Proportional to 22,810.50 and 36,648

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Solution

The third proportional to 22,810.50 and 36,648 is: 58,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.50 : 36,648 = 36,648 : x
  2. Step 2: Convert to fraction form
    22,810.50/36,648 = 36,648/x
  3. Step 3: Cross multiply
    22,810.50x = 36,648 × 36,648
  4. Step 4: Simplify right side
    22,810.50x = 1,343,075,904
  5. Step 5: Solve for x
    x = 1,343,075,904/22,810.50
  6. Step 6: Final answer
    x = 58,879.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.