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Finding the Third Proportional to 30,458.53 and 48,672.14

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Solution

The third proportional to 30,458.53 and 48,672.14 is: 77,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458.53 : 48,672.14 = 48,672.14 : x
  2. Step 2: Convert to fraction form
    30,458.53/48,672.14 = 48,672.14/x
  3. Step 3: Cross multiply
    30,458.53x = 48,672.14 × 48,672.14
  4. Step 4: Simplify right side
    30,458.53x = 2,368,977,273.02
  5. Step 5: Solve for x
    x = 2,368,977,273.02/30,458.53
  6. Step 6: Final answer
    x = 77,777.13

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.