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Finding the Third Proportional to 28,038 and 64,911

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Solution

The third proportional to 28,038 and 64,911 is: 150,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,038 : 64,911 = 64,911 : x
  2. Step 2: Convert to fraction form
    28,038/64,911 = 64,911/x
  3. Step 3: Cross multiply
    28,038x = 64,911 × 64,911
  4. Step 4: Simplify right side
    28,038x = 4,213,437,921
  5. Step 5: Solve for x
    x = 4,213,437,921/28,038
  6. Step 6: Final answer
    x = 150,275.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.