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Finding the Third Proportional to 10,365.47 and 24,603.75

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Solution

The third proportional to 10,365.47 and 24,603.75 is: 58,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.47 : 24,603.75 = 24,603.75 : x
  2. Step 2: Convert to fraction form
    10,365.47/24,603.75 = 24,603.75/x
  3. Step 3: Cross multiply
    10,365.47x = 24,603.75 × 24,603.75
  4. Step 4: Simplify right side
    10,365.47x = 605,344,514.06
  5. Step 5: Solve for x
    x = 605,344,514.06/10,365.47
  6. Step 6: Final answer
    x = 58,400.11

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.