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Finding the Third Proportional to 32,465 and 69,862

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Solution

The third proportional to 32,465 and 69,862 is: 150,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465 : 69,862 = 69,862 : x
  2. Step 2: Convert to fraction form
    32,465/69,862 = 69,862/x
  3. Step 3: Cross multiply
    32,465x = 69,862 × 69,862
  4. Step 4: Simplify right side
    32,465x = 4,880,699,044
  5. Step 5: Solve for x
    x = 4,880,699,044/32,465
  6. Step 6: Final answer
    x = 150,337.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.