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Finding the Third Proportional to 35,800.73 and 78,487.10

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Solution

The third proportional to 35,800.73 and 78,487.10 is: 172,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,800.73 : 78,487.10 = 78,487.10 : x
  2. Step 2: Convert to fraction form
    35,800.73/78,487.10 = 78,487.10/x
  3. Step 3: Cross multiply
    35,800.73x = 78,487.10 × 78,487.10
  4. Step 4: Simplify right side
    35,800.73x = 6,160,225,111.68
  5. Step 5: Solve for x
    x = 6,160,225,111.68/35,800.73
  6. Step 6: Final answer
    x = 172,069.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.