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Finding the Third Proportional to 46,023.75 and 70,371

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Solution

The third proportional to 46,023.75 and 70,371 is: 107,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,023.75 : 70,371 = 70,371 : x
  2. Step 2: Convert to fraction form
    46,023.75/70,371 = 70,371/x
  3. Step 3: Cross multiply
    46,023.75x = 70,371 × 70,371
  4. Step 4: Simplify right side
    46,023.75x = 4,952,077,641
  5. Step 5: Solve for x
    x = 4,952,077,641/46,023.75
  6. Step 6: Final answer
    x = 107,598.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.