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Finding the Third Proportional to 38,045.39 and 59,140.34

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Solution

The third proportional to 38,045.39 and 59,140.34 is: 91,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,045.39 : 59,140.34 = 59,140.34 : x
  2. Step 2: Convert to fraction form
    38,045.39/59,140.34 = 59,140.34/x
  3. Step 3: Cross multiply
    38,045.39x = 59,140.34 × 59,140.34
  4. Step 4: Simplify right side
    38,045.39x = 3,497,579,334.80
  5. Step 5: Solve for x
    x = 3,497,579,334.80/38,045.39
  6. Step 6: Final answer
    x = 91,931.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.