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Finding the Third Proportional to 9,231 and 14,848.50

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Solution

The third proportional to 9,231 and 14,848.50 is: 23,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231 : 14,848.50 = 14,848.50 : x
  2. Step 2: Convert to fraction form
    9,231/14,848.50 = 14,848.50/x
  3. Step 3: Cross multiply
    9,231x = 14,848.50 × 14,848.50
  4. Step 4: Simplify right side
    9,231x = 220,477,952.25
  5. Step 5: Solve for x
    x = 220,477,952.25/9,231
  6. Step 6: Final answer
    x = 23,884.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.