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Finding the Third Proportional to 30,052 and 64,273

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Solution

The third proportional to 30,052 and 64,273 is: 137,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,052 : 64,273 = 64,273 : x
  2. Step 2: Convert to fraction form
    30,052/64,273 = 64,273/x
  3. Step 3: Cross multiply
    30,052x = 64,273 × 64,273
  4. Step 4: Simplify right side
    30,052x = 4,131,018,529
  5. Step 5: Solve for x
    x = 4,131,018,529/30,052
  6. Step 6: Final answer
    x = 137,462.35

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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.