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Finding the Third Proportional to 10,783.13 and 14,568.19

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Solution

The third proportional to 10,783.13 and 14,568.19 is: 19,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.13 : 14,568.19 = 14,568.19 : x
  2. Step 2: Convert to fraction form
    10,783.13/14,568.19 = 14,568.19/x
  3. Step 3: Cross multiply
    10,783.13x = 14,568.19 × 14,568.19
  4. Step 4: Simplify right side
    10,783.13x = 212,232,087.04
  5. Step 5: Solve for x
    x = 212,232,087.04/10,783.13
  6. Step 6: Final answer
    x = 19,681.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.