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Finding the Third Proportional to 40,783.50 and 64,458

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Solution

The third proportional to 40,783.50 and 64,458 is: 101,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,783.50 : 64,458 = 64,458 : x
  2. Step 2: Convert to fraction form
    40,783.50/64,458 = 64,458/x
  3. Step 3: Cross multiply
    40,783.50x = 64,458 × 64,458
  4. Step 4: Simplify right side
    40,783.50x = 4,154,833,764
  5. Step 5: Solve for x
    x = 4,154,833,764/40,783.50
  6. Step 6: Final answer
    x = 101,875.36

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.