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Finding the Third Proportional to 10,369 and 14,784.50

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Solution

The third proportional to 10,369 and 14,784.50 is: 21,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369 : 14,784.50 = 14,784.50 : x
  2. Step 2: Convert to fraction form
    10,369/14,784.50 = 14,784.50/x
  3. Step 3: Cross multiply
    10,369x = 14,784.50 × 14,784.50
  4. Step 4: Simplify right side
    10,369x = 218,581,440.25
  5. Step 5: Solve for x
    x = 218,581,440.25/10,369
  6. Step 6: Final answer
    x = 21,080.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.