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Finding the Third Proportional to 35,023.75 and 77,823.50

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Solution

The third proportional to 35,023.75 and 77,823.50 is: 172,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,023.75 : 77,823.50 = 77,823.50 : x
  2. Step 2: Convert to fraction form
    35,023.75/77,823.50 = 77,823.50/x
  3. Step 3: Cross multiply
    35,023.75x = 77,823.50 × 77,823.50
  4. Step 4: Simplify right side
    35,023.75x = 6,056,497,152.25
  5. Step 5: Solve for x
    x = 6,056,497,152.25/35,023.75
  6. Step 6: Final answer
    x = 172,925.43

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.