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Finding the Third Proportional to 17,346 and 24,787

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Solution

The third proportional to 17,346 and 24,787 is: 35,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,346 : 24,787 = 24,787 : x
  2. Step 2: Convert to fraction form
    17,346/24,787 = 24,787/x
  3. Step 3: Cross multiply
    17,346x = 24,787 × 24,787
  4. Step 4: Simplify right side
    17,346x = 614,395,369
  5. Step 5: Solve for x
    x = 614,395,369/17,346
  6. Step 6: Final answer
    x = 35,420.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.