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Finding the Third Proportional to 46,260 and 71,604

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Solution

The third proportional to 46,260 and 71,604 is: 110,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,260 : 71,604 = 71,604 : x
  2. Step 2: Convert to fraction form
    46,260/71,604 = 71,604/x
  3. Step 3: Cross multiply
    46,260x = 71,604 × 71,604
  4. Step 4: Simplify right side
    46,260x = 5,127,132,816
  5. Step 5: Solve for x
    x = 5,127,132,816/46,260
  6. Step 6: Final answer
    x = 110,832.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.