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Finding the Third Proportional to 26,516 and 57,588.50

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Solution

The third proportional to 26,516 and 57,588.50 is: 125,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,516 : 57,588.50 = 57,588.50 : x
  2. Step 2: Convert to fraction form
    26,516/57,588.50 = 57,588.50/x
  3. Step 3: Cross multiply
    26,516x = 57,588.50 × 57,588.50
  4. Step 4: Simplify right side
    26,516x = 3,316,435,332.25
  5. Step 5: Solve for x
    x = 3,316,435,332.25/26,516
  6. Step 6: Final answer
    x = 125,072.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.