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Finding the Third Proportional to 27,270 and 58,428

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Solution

The third proportional to 27,270 and 58,428 is: 125,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270 : 58,428 = 58,428 : x
  2. Step 2: Convert to fraction form
    27,270/58,428 = 58,428/x
  3. Step 3: Cross multiply
    27,270x = 58,428 × 58,428
  4. Step 4: Simplify right side
    27,270x = 3,413,831,184
  5. Step 5: Solve for x
    x = 3,413,831,184/27,270
  6. Step 6: Final answer
    x = 125,186.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.