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Finding the Third Proportional to 5,681.07 and 12,430.02

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Solution

The third proportional to 5,681.07 and 12,430.02 is: 27,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.07 : 12,430.02 = 12,430.02 : x
  2. Step 2: Convert to fraction form
    5,681.07/12,430.02 = 12,430.02/x
  3. Step 3: Cross multiply
    5,681.07x = 12,430.02 × 12,430.02
  4. Step 4: Simplify right side
    5,681.07x = 154,505,385.55
  5. Step 5: Solve for x
    x = 154,505,385.55/5,681.07
  6. Step 6: Final answer
    x = 27,196.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.