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Finding the Third Proportional to 26,574 and 57,513

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Solution

The third proportional to 26,574 and 57,513 is: 124,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,574 : 57,513 = 57,513 : x
  2. Step 2: Convert to fraction form
    26,574/57,513 = 57,513/x
  3. Step 3: Cross multiply
    26,574x = 57,513 × 57,513
  4. Step 4: Simplify right side
    26,574x = 3,307,745,169
  5. Step 5: Solve for x
    x = 3,307,745,169/26,574
  6. Step 6: Final answer
    x = 124,472.99

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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.