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Finding the Third Proportional to 19,733.63 and 42,646.50

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Solution

The third proportional to 19,733.63 and 42,646.50 is: 92,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,733.63 : 42,646.50 = 42,646.50 : x
  2. Step 2: Convert to fraction form
    19,733.63/42,646.50 = 42,646.50/x
  3. Step 3: Cross multiply
    19,733.63x = 42,646.50 × 42,646.50
  4. Step 4: Simplify right side
    19,733.63x = 1,818,723,962.25
  5. Step 5: Solve for x
    x = 1,818,723,962.25/19,733.63
  6. Step 6: Final answer
    x = 92,163.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.