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Finding the Third Proportional to 47,528 and 73,920

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Solution

The third proportional to 47,528 and 73,920 is: 114,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,528 : 73,920 = 73,920 : x
  2. Step 2: Convert to fraction form
    47,528/73,920 = 73,920/x
  3. Step 3: Cross multiply
    47,528x = 73,920 × 73,920
  4. Step 4: Simplify right side
    47,528x = 5,464,166,400
  5. Step 5: Solve for x
    x = 5,464,166,400/47,528
  6. Step 6: Final answer
    x = 114,967.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.