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Finding the Third Proportional to 27,307.13 and 43,419.38

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Solution

The third proportional to 27,307.13 and 43,419.38 is: 69,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307.13 : 43,419.38 = 43,419.38 : x
  2. Step 2: Convert to fraction form
    27,307.13/43,419.38 = 43,419.38/x
  3. Step 3: Cross multiply
    27,307.13x = 43,419.38 × 43,419.38
  4. Step 4: Simplify right side
    27,307.13x = 1,885,242,125.39
  5. Step 5: Solve for x
    x = 1,885,242,125.39/27,307.13
  6. Step 6: Final answer
    x = 69,038.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.