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Finding the Third Proportional to 15,764 and 22,072

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Solution

The third proportional to 15,764 and 22,072 is: 30,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764 : 22,072 = 22,072 : x
  2. Step 2: Convert to fraction form
    15,764/22,072 = 22,072/x
  3. Step 3: Cross multiply
    15,764x = 22,072 × 22,072
  4. Step 4: Simplify right side
    15,764x = 487,173,184
  5. Step 5: Solve for x
    x = 487,173,184/15,764
  6. Step 6: Final answer
    x = 30,904.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.