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Finding the Third Proportional to 35,719.50 and 53,904

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Solution

The third proportional to 35,719.50 and 53,904 is: 81,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,719.50 : 53,904 = 53,904 : x
  2. Step 2: Convert to fraction form
    35,719.50/53,904 = 53,904/x
  3. Step 3: Cross multiply
    35,719.50x = 53,904 × 53,904
  4. Step 4: Simplify right side
    35,719.50x = 2,905,641,216
  5. Step 5: Solve for x
    x = 2,905,641,216/35,719.50
  6. Step 6: Final answer
    x = 81,346.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.