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Finding the Third Proportional to 40,513.50 and 64,094.63

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Solution

The third proportional to 40,513.50 and 64,094.63 is: 101,401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,513.50 : 64,094.63 = 64,094.63 : x
  2. Step 2: Convert to fraction form
    40,513.50/64,094.63 = 64,094.63/x
  3. Step 3: Cross multiply
    40,513.50x = 64,094.63 × 64,094.63
  4. Step 4: Simplify right side
    40,513.50x = 4,108,120,953.89
  5. Step 5: Solve for x
    x = 4,108,120,953.89/40,513.50
  6. Step 6: Final answer
    x = 101,401.28

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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.