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Finding the Third Proportional to 14,909.79 and 32,154.84

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Solution

The third proportional to 14,909.79 and 32,154.84 is: 69,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.79 : 32,154.84 = 32,154.84 : x
  2. Step 2: Convert to fraction form
    14,909.79/32,154.84 = 32,154.84/x
  3. Step 3: Cross multiply
    14,909.79x = 32,154.84 × 32,154.84
  4. Step 4: Simplify right side
    14,909.79x = 1,033,934,023.69
  5. Step 5: Solve for x
    x = 1,033,934,023.69/14,909.79
  6. Step 6: Final answer
    x = 69,345.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.