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Finding the Third Proportional to 9,747 and 15,459.75

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Solution

The third proportional to 9,747 and 15,459.75 is: 24,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747 : 15,459.75 = 15,459.75 : x
  2. Step 2: Convert to fraction form
    9,747/15,459.75 = 15,459.75/x
  3. Step 3: Cross multiply
    9,747x = 15,459.75 × 15,459.75
  4. Step 4: Simplify right side
    9,747x = 239,003,870.06
  5. Step 5: Solve for x
    x = 239,003,870.06/9,747
  6. Step 6: Final answer
    x = 24,520.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.