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Finding the Third Proportional to 10,754.02 and 23,585.55

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Solution

The third proportional to 10,754.02 and 23,585.55 is: 51,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.02 : 23,585.55 = 23,585.55 : x
  2. Step 2: Convert to fraction form
    10,754.02/23,585.55 = 23,585.55/x
  3. Step 3: Cross multiply
    10,754.02x = 23,585.55 × 23,585.55
  4. Step 4: Simplify right side
    10,754.02x = 556,278,389.92
  5. Step 5: Solve for x
    x = 556,278,389.92/10,754.02
  6. Step 6: Final answer
    x = 51,727.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.