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Finding the Third Proportional to 38,437 and 56,167.50

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Solution

The third proportional to 38,437 and 56,167.50 is: 82,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,437 : 56,167.50 = 56,167.50 : x
  2. Step 2: Convert to fraction form
    38,437/56,167.50 = 56,167.50/x
  3. Step 3: Cross multiply
    38,437x = 56,167.50 × 56,167.50
  4. Step 4: Simplify right side
    38,437x = 3,154,788,056.25
  5. Step 5: Solve for x
    x = 3,154,788,056.25/38,437
  6. Step 6: Final answer
    x = 82,076.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.