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Finding the Third Proportional to 14,528 and 30,752

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Solution

The third proportional to 14,528 and 30,752 is: 65,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,528 : 30,752 = 30,752 : x
  2. Step 2: Convert to fraction form
    14,528/30,752 = 30,752/x
  3. Step 3: Cross multiply
    14,528x = 30,752 × 30,752
  4. Step 4: Simplify right side
    14,528x = 945,685,504
  5. Step 5: Solve for x
    x = 945,685,504/14,528
  6. Step 6: Final answer
    x = 65,093.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.