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Finding the Third Proportional to 17,070.75 and 24,953.06

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Solution

The third proportional to 17,070.75 and 24,953.06 is: 36,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,070.75 : 24,953.06 = 24,953.06 : x
  2. Step 2: Convert to fraction form
    17,070.75/24,953.06 = 24,953.06/x
  3. Step 3: Cross multiply
    17,070.75x = 24,953.06 × 24,953.06
  4. Step 4: Simplify right side
    17,070.75x = 622,655,328.13
  5. Step 5: Solve for x
    x = 622,655,328.13/17,070.75
  6. Step 6: Final answer
    x = 36,474.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.