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Finding the Third Proportional to 8,964 and 20,830.50

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Solution

The third proportional to 8,964 and 20,830.50 is: 48,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964 : 20,830.50 = 20,830.50 : x
  2. Step 2: Convert to fraction form
    8,964/20,830.50 = 20,830.50/x
  3. Step 3: Cross multiply
    8,964x = 20,830.50 × 20,830.50
  4. Step 4: Simplify right side
    8,964x = 433,909,730.25
  5. Step 5: Solve for x
    x = 433,909,730.25/8,964
  6. Step 6: Final answer
    x = 48,405.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.