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Finding the Third Proportional to 18,526 and 28,410

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Solution

The third proportional to 18,526 and 28,410 is: 43,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,526 : 28,410 = 28,410 : x
  2. Step 2: Convert to fraction form
    18,526/28,410 = 28,410/x
  3. Step 3: Cross multiply
    18,526x = 28,410 × 28,410
  4. Step 4: Simplify right side
    18,526x = 807,128,100
  5. Step 5: Solve for x
    x = 807,128,100/18,526
  6. Step 6: Final answer
    x = 43,567.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.