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Finding the Third Proportional to 28,023 and 42,848.25

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Solution

The third proportional to 28,023 and 42,848.25 is: 65,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,023 : 42,848.25 = 42,848.25 : x
  2. Step 2: Convert to fraction form
    28,023/42,848.25 = 42,848.25/x
  3. Step 3: Cross multiply
    28,023x = 42,848.25 × 42,848.25
  4. Step 4: Simplify right side
    28,023x = 1,835,972,528.06
  5. Step 5: Solve for x
    x = 1,835,972,528.06/28,023
  6. Step 6: Final answer
    x = 65,516.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.