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Finding the Third Proportional to 27,430.13 and 59,022.75

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Solution

The third proportional to 27,430.13 and 59,022.75 is: 127,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430.13 : 59,022.75 = 59,022.75 : x
  2. Step 2: Convert to fraction form
    27,430.13/59,022.75 = 59,022.75/x
  3. Step 3: Cross multiply
    27,430.13x = 59,022.75 × 59,022.75
  4. Step 4: Simplify right side
    27,430.13x = 3,483,685,017.56
  5. Step 5: Solve for x
    x = 3,483,685,017.56/27,430.13
  6. Step 6: Final answer
    x = 127,002.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.