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Finding the Third Proportional to 38,456.63 and 58,216.13

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Solution

The third proportional to 38,456.63 and 58,216.13 is: 88,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,456.63 : 58,216.13 = 58,216.13 : x
  2. Step 2: Convert to fraction form
    38,456.63/58,216.13 = 58,216.13/x
  3. Step 3: Cross multiply
    38,456.63x = 58,216.13 × 58,216.13
  4. Step 4: Simplify right side
    38,456.63x = 3,389,117,210.02
  5. Step 5: Solve for x
    x = 3,389,117,210.02/38,456.63
  6. Step 6: Final answer
    x = 88,128.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.