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Finding the Third Proportional to 17,302.31 and 26,720.16

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Solution

The third proportional to 17,302.31 and 26,720.16 is: 41,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.31 : 26,720.16 = 26,720.16 : x
  2. Step 2: Convert to fraction form
    17,302.31/26,720.16 = 26,720.16/x
  3. Step 3: Cross multiply
    17,302.31x = 26,720.16 × 26,720.16
  4. Step 4: Simplify right side
    17,302.31x = 713,966,750.02
  5. Step 5: Solve for x
    x = 713,966,750.02/17,302.31
  6. Step 6: Final answer
    x = 41,264.24

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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.