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Finding the Third Proportional to 42,798 and 56,800.50

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Solution

The third proportional to 42,798 and 56,800.50 is: 75,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,798 : 56,800.50 = 56,800.50 : x
  2. Step 2: Convert to fraction form
    42,798/56,800.50 = 56,800.50/x
  3. Step 3: Cross multiply
    42,798x = 56,800.50 × 56,800.50
  4. Step 4: Simplify right side
    42,798x = 3,226,296,800.25
  5. Step 5: Solve for x
    x = 3,226,296,800.25/42,798
  6. Step 6: Final answer
    x = 75,384.29

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.