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Finding the Third Proportional to 27,300 and 59,541

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Solution

The third proportional to 27,300 and 59,541 is: 129,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300 : 59,541 = 59,541 : x
  2. Step 2: Convert to fraction form
    27,300/59,541 = 59,541/x
  3. Step 3: Cross multiply
    27,300x = 59,541 × 59,541
  4. Step 4: Simplify right side
    27,300x = 3,545,130,681
  5. Step 5: Solve for x
    x = 3,545,130,681/27,300
  6. Step 6: Final answer
    x = 129,858.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.