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Finding the Third Proportional to 25,324 and 58,627

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Solution

The third proportional to 25,324 and 58,627 is: 135,726.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,324 : 58,627 = 58,627 : x
  2. Step 2: Convert to fraction form
    25,324/58,627 = 58,627/x
  3. Step 3: Cross multiply
    25,324x = 58,627 × 58,627
  4. Step 4: Simplify right side
    25,324x = 3,437,125,129
  5. Step 5: Solve for x
    x = 3,437,125,129/25,324
  6. Step 6: Final answer
    x = 135,726.00

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.