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Finding the Third Proportional to 9,312 and 20,261.63

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Solution

The third proportional to 9,312 and 20,261.63 is: 44,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312 : 20,261.63 = 20,261.63 : x
  2. Step 2: Convert to fraction form
    9,312/20,261.63 = 20,261.63/x
  3. Step 3: Cross multiply
    9,312x = 20,261.63 × 20,261.63
  4. Step 4: Simplify right side
    9,312x = 410,533,447.64
  5. Step 5: Solve for x
    x = 410,533,447.64/9,312
  6. Step 6: Final answer
    x = 44,086.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.