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Finding the Third Proportional to 14,363 and 21,071.50

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Solution

The third proportional to 14,363 and 21,071.50 is: 30,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,363 : 21,071.50 = 21,071.50 : x
  2. Step 2: Convert to fraction form
    14,363/21,071.50 = 21,071.50/x
  3. Step 3: Cross multiply
    14,363x = 21,071.50 × 21,071.50
  4. Step 4: Simplify right side
    14,363x = 444,008,112.25
  5. Step 5: Solve for x
    x = 444,008,112.25/14,363
  6. Step 6: Final answer
    x = 30,913.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.