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Finding the Third Proportional to 10,788 and 23,473.50

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Solution

The third proportional to 10,788 and 23,473.50 is: 51,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788 : 23,473.50 = 23,473.50 : x
  2. Step 2: Convert to fraction form
    10,788/23,473.50 = 23,473.50/x
  3. Step 3: Cross multiply
    10,788x = 23,473.50 × 23,473.50
  4. Step 4: Simplify right side
    10,788x = 551,005,202.25
  5. Step 5: Solve for x
    x = 551,005,202.25/10,788
  6. Step 6: Final answer
    x = 51,075.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.