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Finding the Third Proportional to 21,316.50 and 48,345.75

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Solution

The third proportional to 21,316.50 and 48,345.75 is: 109,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,316.50 : 48,345.75 = 48,345.75 : x
  2. Step 2: Convert to fraction form
    21,316.50/48,345.75 = 48,345.75/x
  3. Step 3: Cross multiply
    21,316.50x = 48,345.75 × 48,345.75
  4. Step 4: Simplify right side
    21,316.50x = 2,337,311,543.06
  5. Step 5: Solve for x
    x = 2,337,311,543.06/21,316.50
  6. Step 6: Final answer
    x = 109,648.00

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.