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Finding the Third Proportional to 17,085.16 and 24,048.98

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Solution

The third proportional to 17,085.16 and 24,048.98 is: 33,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085.16 : 24,048.98 = 24,048.98 : x
  2. Step 2: Convert to fraction form
    17,085.16/24,048.98 = 24,048.98/x
  3. Step 3: Cross multiply
    17,085.16x = 24,048.98 × 24,048.98
  4. Step 4: Simplify right side
    17,085.16x = 578,353,649.47
  5. Step 5: Solve for x
    x = 578,353,649.47/17,085.16
  6. Step 6: Final answer
    x = 33,851.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.