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Finding the Third Proportional to 9,486 and 14,881.50

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Solution

The third proportional to 9,486 and 14,881.50 is: 23,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486 : 14,881.50 = 14,881.50 : x
  2. Step 2: Convert to fraction form
    9,486/14,881.50 = 14,881.50/x
  3. Step 3: Cross multiply
    9,486x = 14,881.50 × 14,881.50
  4. Step 4: Simplify right side
    9,486x = 221,459,042.25
  5. Step 5: Solve for x
    x = 221,459,042.25/9,486
  6. Step 6: Final answer
    x = 23,345.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.