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Finding the Third Proportional to 36,331.03 and 53,420.13

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Solution

The third proportional to 36,331.03 and 53,420.13 is: 78,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,331.03 : 53,420.13 = 53,420.13 : x
  2. Step 2: Convert to fraction form
    36,331.03/53,420.13 = 53,420.13/x
  3. Step 3: Cross multiply
    36,331.03x = 53,420.13 × 53,420.13
  4. Step 4: Simplify right side
    36,331.03x = 2,853,710,589.71
  5. Step 5: Solve for x
    x = 2,853,710,589.71/36,331.03
  6. Step 6: Final answer
    x = 78,547.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.