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Finding the Third Proportional to 10,218.66 and 14,585.06

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Solution

The third proportional to 10,218.66 and 14,585.06 is: 20,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.66 : 14,585.06 = 14,585.06 : x
  2. Step 2: Convert to fraction form
    10,218.66/14,585.06 = 14,585.06/x
  3. Step 3: Cross multiply
    10,218.66x = 14,585.06 × 14,585.06
  4. Step 4: Simplify right side
    10,218.66x = 212,724,048.13
  5. Step 5: Solve for x
    x = 212,724,048.13/10,218.66
  6. Step 6: Final answer
    x = 20,817.22

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Why These Related Problems?

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