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Finding the Third Proportional to 30,436 and 40,712

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Solution

The third proportional to 30,436 and 40,712 is: 54,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,436 : 40,712 = 40,712 : x
  2. Step 2: Convert to fraction form
    30,436/40,712 = 40,712/x
  3. Step 3: Cross multiply
    30,436x = 40,712 × 40,712
  4. Step 4: Simplify right side
    30,436x = 1,657,466,944
  5. Step 5: Solve for x
    x = 1,657,466,944/30,436
  6. Step 6: Final answer
    x = 54,457.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.