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Finding the Third Proportional to 17,312 and 23,840

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Solution

The third proportional to 17,312 and 23,840 is: 32,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,312 : 23,840 = 23,840 : x
  2. Step 2: Convert to fraction form
    17,312/23,840 = 23,840/x
  3. Step 3: Cross multiply
    17,312x = 23,840 × 23,840
  4. Step 4: Simplify right side
    17,312x = 568,345,600
  5. Step 5: Solve for x
    x = 568,345,600/17,312
  6. Step 6: Final answer
    x = 32,829.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.