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Finding the Third Proportional to 30,658.50 and 56,804.63

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Solution

The third proportional to 30,658.50 and 56,804.63 is: 105,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.50 : 56,804.63 = 56,804.63 : x
  2. Step 2: Convert to fraction form
    30,658.50/56,804.63 = 56,804.63/x
  3. Step 3: Cross multiply
    30,658.50x = 56,804.63 × 56,804.63
  4. Step 4: Simplify right side
    30,658.50x = 3,226,765,421.39
  5. Step 5: Solve for x
    x = 3,226,765,421.39/30,658.50
  6. Step 6: Final answer
    x = 105,248.64

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.