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Finding the Third Proportional to 40,365 and 51,070.50

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Solution

The third proportional to 40,365 and 51,070.50 is: 64,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,365 : 51,070.50 = 51,070.50 : x
  2. Step 2: Convert to fraction form
    40,365/51,070.50 = 51,070.50/x
  3. Step 3: Cross multiply
    40,365x = 51,070.50 × 51,070.50
  4. Step 4: Simplify right side
    40,365x = 2,608,195,970.25
  5. Step 5: Solve for x
    x = 2,608,195,970.25/40,365
  6. Step 6: Final answer
    x = 64,615.28

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.