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Finding the Third Proportional to 15,477.75 and 22,271.63

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Solution

The third proportional to 15,477.75 and 22,271.63 is: 32,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477.75 : 22,271.63 = 22,271.63 : x
  2. Step 2: Convert to fraction form
    15,477.75/22,271.63 = 22,271.63/x
  3. Step 3: Cross multiply
    15,477.75x = 22,271.63 × 22,271.63
  4. Step 4: Simplify right side
    15,477.75x = 496,025,280.14
  5. Step 5: Solve for x
    x = 496,025,280.14/15,477.75
  6. Step 6: Final answer
    x = 32,047.63

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.