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Finding the Third Proportional to 17,437.50 and 26,678.25

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Solution

The third proportional to 17,437.50 and 26,678.25 is: 40,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,437.50 : 26,678.25 = 26,678.25 : x
  2. Step 2: Convert to fraction form
    17,437.50/26,678.25 = 26,678.25/x
  3. Step 3: Cross multiply
    17,437.50x = 26,678.25 × 26,678.25
  4. Step 4: Simplify right side
    17,437.50x = 711,729,023.06
  5. Step 5: Solve for x
    x = 711,729,023.06/17,437.50
  6. Step 6: Final answer
    x = 40,816.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.