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Finding the Third Proportional to 32,402 and 41,403

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Solution

The third proportional to 32,402 and 41,403 is: 52,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402 : 41,403 = 41,403 : x
  2. Step 2: Convert to fraction form
    32,402/41,403 = 41,403/x
  3. Step 3: Cross multiply
    32,402x = 41,403 × 41,403
  4. Step 4: Simplify right side
    32,402x = 1,714,208,409
  5. Step 5: Solve for x
    x = 1,714,208,409/32,402
  6. Step 6: Final answer
    x = 52,904.40

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.