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Finding the Third Proportional to 46,472.50 and 73,863

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Solution

The third proportional to 46,472.50 and 73,863 is: 117,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,472.50 : 73,863 = 73,863 : x
  2. Step 2: Convert to fraction form
    46,472.50/73,863 = 73,863/x
  3. Step 3: Cross multiply
    46,472.50x = 73,863 × 73,863
  4. Step 4: Simplify right side
    46,472.50x = 5,455,742,769
  5. Step 5: Solve for x
    x = 5,455,742,769/46,472.50
  6. Step 6: Final answer
    x = 117,397.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.