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Finding the Third Proportional to 9,909.84 and 15,377.34

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Solution

The third proportional to 9,909.84 and 15,377.34 is: 23,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.84 : 15,377.34 = 15,377.34 : x
  2. Step 2: Convert to fraction form
    9,909.84/15,377.34 = 15,377.34/x
  3. Step 3: Cross multiply
    9,909.84x = 15,377.34 × 15,377.34
  4. Step 4: Simplify right side
    9,909.84x = 236,462,700.81
  5. Step 5: Solve for x
    x = 236,462,700.81/9,909.84
  6. Step 6: Final answer
    x = 23,861.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.