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Finding the Third Proportional to 4,595 and 10,072

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Solution

The third proportional to 4,595 and 10,072 is: 22,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595 : 10,072 = 10,072 : x
  2. Step 2: Convert to fraction form
    4,595/10,072 = 10,072/x
  3. Step 3: Cross multiply
    4,595x = 10,072 × 10,072
  4. Step 4: Simplify right side
    4,595x = 101,445,184
  5. Step 5: Solve for x
    x = 101,445,184/4,595
  6. Step 6: Final answer
    x = 22,077.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.