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Finding the Third Proportional to 38,705.34 and 59,509.69

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Solution

The third proportional to 38,705.34 and 59,509.69 is: 91,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,705.34 : 59,509.69 = 59,509.69 : x
  2. Step 2: Convert to fraction form
    38,705.34/59,509.69 = 59,509.69/x
  3. Step 3: Cross multiply
    38,705.34x = 59,509.69 × 59,509.69
  4. Step 4: Simplify right side
    38,705.34x = 3,541,402,906.35
  5. Step 5: Solve for x
    x = 3,541,402,906.35/38,705.34
  6. Step 6: Final answer
    x = 91,496.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.