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Finding the Third Proportional to 26,800.88 and 39,397.50

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Solution

The third proportional to 26,800.88 and 39,397.50 is: 57,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,800.88 : 39,397.50 = 39,397.50 : x
  2. Step 2: Convert to fraction form
    26,800.88/39,397.50 = 39,397.50/x
  3. Step 3: Cross multiply
    26,800.88x = 39,397.50 × 39,397.50
  4. Step 4: Simplify right side
    26,800.88x = 1,552,163,006.25
  5. Step 5: Solve for x
    x = 1,552,163,006.25/26,800.88
  6. Step 6: Final answer
    x = 57,914.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.