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Finding the Third Proportional to 45,471 and 69,646.50

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Solution

The third proportional to 45,471 and 69,646.50 is: 106,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,471 : 69,646.50 = 69,646.50 : x
  2. Step 2: Convert to fraction form
    45,471/69,646.50 = 69,646.50/x
  3. Step 3: Cross multiply
    45,471x = 69,646.50 × 69,646.50
  4. Step 4: Simplify right side
    45,471x = 4,850,634,962.25
  5. Step 5: Solve for x
    x = 4,850,634,962.25/45,471
  6. Step 6: Final answer
    x = 106,675.35

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.