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Finding the Third Proportional to 27,604 and 59,576

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Solution

The third proportional to 27,604 and 59,576 is: 128,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,604 : 59,576 = 59,576 : x
  2. Step 2: Convert to fraction form
    27,604/59,576 = 59,576/x
  3. Step 3: Cross multiply
    27,604x = 59,576 × 59,576
  4. Step 4: Simplify right side
    27,604x = 3,549,299,776
  5. Step 5: Solve for x
    x = 3,549,299,776/27,604
  6. Step 6: Final answer
    x = 128,579.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.