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Finding the Third Proportional to 26,827 and 39,417.50

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Solution

The third proportional to 26,827 and 39,417.50 is: 57,917.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,827 : 39,417.50 = 39,417.50 : x
  2. Step 2: Convert to fraction form
    26,827/39,417.50 = 39,417.50/x
  3. Step 3: Cross multiply
    26,827x = 39,417.50 × 39,417.50
  4. Step 4: Simplify right side
    26,827x = 1,553,739,306.25
  5. Step 5: Solve for x
    x = 1,553,739,306.25/26,827
  6. Step 6: Final answer
    x = 57,917.00

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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.