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Finding the Third Proportional to 26,810 and 58,541

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Solution

The third proportional to 26,810 and 58,541 is: 127,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,810 : 58,541 = 58,541 : x
  2. Step 2: Convert to fraction form
    26,810/58,541 = 58,541/x
  3. Step 3: Cross multiply
    26,810x = 58,541 × 58,541
  4. Step 4: Simplify right side
    26,810x = 3,427,048,681
  5. Step 5: Solve for x
    x = 3,427,048,681/26,810
  6. Step 6: Final answer
    x = 127,827.25

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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.