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Finding the Third Proportional to 30,547.13 and 41,892.19

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Solution

The third proportional to 30,547.13 and 41,892.19 is: 57,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.13 : 41,892.19 = 41,892.19 : x
  2. Step 2: Convert to fraction form
    30,547.13/41,892.19 = 41,892.19/x
  3. Step 3: Cross multiply
    30,547.13x = 41,892.19 × 41,892.19
  4. Step 4: Simplify right side
    30,547.13x = 1,754,955,373.54
  5. Step 5: Solve for x
    x = 1,754,955,373.54/30,547.13
  6. Step 6: Final answer
    x = 57,450.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.