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Finding the Third Proportional to 9,707.50 and 14,643

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Solution

The third proportional to 9,707.50 and 14,643 is: 22,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.50 : 14,643 = 14,643 : x
  2. Step 2: Convert to fraction form
    9,707.50/14,643 = 14,643/x
  3. Step 3: Cross multiply
    9,707.50x = 14,643 × 14,643
  4. Step 4: Simplify right side
    9,707.50x = 214,417,449
  5. Step 5: Solve for x
    x = 214,417,449/9,707.50
  6. Step 6: Final answer
    x = 22,087.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.