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Finding the Third Proportional to 46,748 and 73,524

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Solution

The third proportional to 46,748 and 73,524 is: 115,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,748 : 73,524 = 73,524 : x
  2. Step 2: Convert to fraction form
    46,748/73,524 = 73,524/x
  3. Step 3: Cross multiply
    46,748x = 73,524 × 73,524
  4. Step 4: Simplify right side
    46,748x = 5,405,778,576
  5. Step 5: Solve for x
    x = 5,405,778,576/46,748
  6. Step 6: Final answer
    x = 115,636.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.