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Finding the Third Proportional to 15,148 and 31,030

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Solution

The third proportional to 15,148 and 31,030 is: 63,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148 : 31,030 = 31,030 : x
  2. Step 2: Convert to fraction form
    15,148/31,030 = 31,030/x
  3. Step 3: Cross multiply
    15,148x = 31,030 × 31,030
  4. Step 4: Simplify right side
    15,148x = 962,860,900
  5. Step 5: Solve for x
    x = 962,860,900/15,148
  6. Step 6: Final answer
    x = 63,563.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.