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Finding the Third Proportional to 27,607 and 60,043

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Solution

The third proportional to 27,607 and 60,043 is: 130,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,607 : 60,043 = 60,043 : x
  2. Step 2: Convert to fraction form
    27,607/60,043 = 60,043/x
  3. Step 3: Cross multiply
    27,607x = 60,043 × 60,043
  4. Step 4: Simplify right side
    27,607x = 3,605,161,849
  5. Step 5: Solve for x
    x = 3,605,161,849/27,607
  6. Step 6: Final answer
    x = 130,588.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.