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Finding the Third Proportional to 17,154.75 and 27,389.50

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Solution

The third proportional to 17,154.75 and 27,389.50 is: 43,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.75 : 27,389.50 = 27,389.50 : x
  2. Step 2: Convert to fraction form
    17,154.75/27,389.50 = 27,389.50/x
  3. Step 3: Cross multiply
    17,154.75x = 27,389.50 × 27,389.50
  4. Step 4: Simplify right side
    17,154.75x = 750,184,710.25
  5. Step 5: Solve for x
    x = 750,184,710.25/17,154.75
  6. Step 6: Final answer
    x = 43,730.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.