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Finding the Third Proportional to 17,705.63 and 25,920.56

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Solution

The third proportional to 17,705.63 and 25,920.56 is: 37,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.63 : 25,920.56 = 25,920.56 : x
  2. Step 2: Convert to fraction form
    17,705.63/25,920.56 = 25,920.56/x
  3. Step 3: Cross multiply
    17,705.63x = 25,920.56 × 25,920.56
  4. Step 4: Simplify right side
    17,705.63x = 671,875,560.32
  5. Step 5: Solve for x
    x = 671,875,560.32/17,705.63
  6. Step 6: Final answer
    x = 37,947.01

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Why These Related Problems?

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