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Finding the Third Proportional to 20,509.88 and 44,573.63

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Solution

The third proportional to 20,509.88 and 44,573.63 is: 96,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.88 : 44,573.63 = 44,573.63 : x
  2. Step 2: Convert to fraction form
    20,509.88/44,573.63 = 44,573.63/x
  3. Step 3: Cross multiply
    20,509.88x = 44,573.63 × 44,573.63
  4. Step 4: Simplify right side
    20,509.88x = 1,986,808,045.64
  5. Step 5: Solve for x
    x = 1,986,808,045.64/20,509.88
  6. Step 6: Final answer
    x = 96,870.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.