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Finding the Third Proportional to 9,723 and 12,712.50

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Solution

The third proportional to 9,723 and 12,712.50 is: 16,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723 : 12,712.50 = 12,712.50 : x
  2. Step 2: Convert to fraction form
    9,723/12,712.50 = 12,712.50/x
  3. Step 3: Cross multiply
    9,723x = 12,712.50 × 12,712.50
  4. Step 4: Simplify right side
    9,723x = 161,607,656.25
  5. Step 5: Solve for x
    x = 161,607,656.25/9,723
  6. Step 6: Final answer
    x = 16,621.17

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.