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Finding the Third Proportional to 40,090.50 and 63,477.63

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Solution

The third proportional to 40,090.50 and 63,477.63 is: 100,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,090.50 : 63,477.63 = 63,477.63 : x
  2. Step 2: Convert to fraction form
    40,090.50/63,477.63 = 63,477.63/x
  3. Step 3: Cross multiply
    40,090.50x = 63,477.63 × 63,477.63
  4. Step 4: Simplify right side
    40,090.50x = 4,029,408,875.64
  5. Step 5: Solve for x
    x = 4,029,408,875.64/40,090.50
  6. Step 6: Final answer
    x = 100,507.82

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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.