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Finding the Third Proportional to 27,898.07 and 42,430.92

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Solution

The third proportional to 27,898.07 and 42,430.92 is: 64,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898.07 : 42,430.92 = 42,430.92 : x
  2. Step 2: Convert to fraction form
    27,898.07/42,430.92 = 42,430.92/x
  3. Step 3: Cross multiply
    27,898.07x = 42,430.92 × 42,430.92
  4. Step 4: Simplify right side
    27,898.07x = 1,800,383,131.16
  5. Step 5: Solve for x
    x = 1,800,383,131.16/27,898.07
  6. Step 6: Final answer
    x = 64,534.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.