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Finding the Third Proportional to 40,964 and 65,312

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Solution

The third proportional to 40,964 and 65,312 is: 104,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,964 : 65,312 = 65,312 : x
  2. Step 2: Convert to fraction form
    40,964/65,312 = 65,312/x
  3. Step 3: Cross multiply
    40,964x = 65,312 × 65,312
  4. Step 4: Simplify right side
    40,964x = 4,265,657,344
  5. Step 5: Solve for x
    x = 4,265,657,344/40,964
  6. Step 6: Final answer
    x = 104,131.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.