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Finding the Third Proportional to 38,073 and 56,005.50

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Solution

The third proportional to 38,073 and 56,005.50 is: 82,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,073 : 56,005.50 = 56,005.50 : x
  2. Step 2: Convert to fraction form
    38,073/56,005.50 = 56,005.50/x
  3. Step 3: Cross multiply
    38,073x = 56,005.50 × 56,005.50
  4. Step 4: Simplify right side
    38,073x = 3,136,616,030.25
  5. Step 5: Solve for x
    x = 3,136,616,030.25/38,073
  6. Step 6: Final answer
    x = 82,384.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.