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Finding the Third Proportional to 17,235.50 and 26,602

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Solution

The third proportional to 17,235.50 and 26,602 is: 41,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.50 : 26,602 = 26,602 : x
  2. Step 2: Convert to fraction form
    17,235.50/26,602 = 26,602/x
  3. Step 3: Cross multiply
    17,235.50x = 26,602 × 26,602
  4. Step 4: Simplify right side
    17,235.50x = 707,666,404
  5. Step 5: Solve for x
    x = 707,666,404/17,235.50
  6. Step 6: Final answer
    x = 41,058.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.