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Finding the Third Proportional to 24,309 and 32,308.88

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Solution

The third proportional to 24,309 and 32,308.88 is: 42,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309 : 32,308.88 = 32,308.88 : x
  2. Step 2: Convert to fraction form
    24,309/32,308.88 = 32,308.88/x
  3. Step 3: Cross multiply
    24,309x = 32,308.88 × 32,308.88
  4. Step 4: Simplify right side
    24,309x = 1,043,863,403.77
  5. Step 5: Solve for x
    x = 1,043,863,403.77/24,309
  6. Step 6: Final answer
    x = 42,941.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.