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Finding the Third Proportional to 38,728.13 and 42,292.13

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Solution

The third proportional to 38,728.13 and 42,292.13 is: 46,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,728.13 : 42,292.13 = 42,292.13 : x
  2. Step 2: Convert to fraction form
    38,728.13/42,292.13 = 42,292.13/x
  3. Step 3: Cross multiply
    38,728.13x = 42,292.13 × 42,292.13
  4. Step 4: Simplify right side
    38,728.13x = 1,788,623,837.02
  5. Step 5: Solve for x
    x = 1,788,623,837.02/38,728.13
  6. Step 6: Final answer
    x = 46,184.11

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.