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Finding the Third Proportional to 15,023.63 and 21,760.88

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Solution

The third proportional to 15,023.63 and 21,760.88 is: 31,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.63 : 21,760.88 = 21,760.88 : x
  2. Step 2: Convert to fraction form
    15,023.63/21,760.88 = 21,760.88/x
  3. Step 3: Cross multiply
    15,023.63x = 21,760.88 × 21,760.88
  4. Step 4: Simplify right side
    15,023.63x = 473,535,680.77
  5. Step 5: Solve for x
    x = 473,535,680.77/15,023.63
  6. Step 6: Final answer
    x = 31,519.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.