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Finding the Third Proportional to 11,133 and 14,881.50

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Solution

The third proportional to 11,133 and 14,881.50 is: 19,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133 : 14,881.50 = 14,881.50 : x
  2. Step 2: Convert to fraction form
    11,133/14,881.50 = 14,881.50/x
  3. Step 3: Cross multiply
    11,133x = 14,881.50 × 14,881.50
  4. Step 4: Simplify right side
    11,133x = 221,459,042.25
  5. Step 5: Solve for x
    x = 221,459,042.25/11,133
  6. Step 6: Final answer
    x = 19,892.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.