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Finding the Third Proportional to 7,036 and 15,030

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Solution

The third proportional to 7,036 and 15,030 is: 32,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036 : 15,030 = 15,030 : x
  2. Step 2: Convert to fraction form
    7,036/15,030 = 15,030/x
  3. Step 3: Cross multiply
    7,036x = 15,030 × 15,030
  4. Step 4: Simplify right side
    7,036x = 225,900,900
  5. Step 5: Solve for x
    x = 225,900,900/7,036
  6. Step 6: Final answer
    x = 32,106.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.