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Finding the Third Proportional to 7,260 and 16,139

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Solution

The third proportional to 7,260 and 16,139 is: 35,877.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260 : 16,139 = 16,139 : x
  2. Step 2: Convert to fraction form
    7,260/16,139 = 16,139/x
  3. Step 3: Cross multiply
    7,260x = 16,139 × 16,139
  4. Step 4: Simplify right side
    7,260x = 260,467,321
  5. Step 5: Solve for x
    x = 260,467,321/7,260
  6. Step 6: Final answer
    x = 35,877.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.