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Finding the Third Proportional to 40,672 and 74,594

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Solution

The third proportional to 40,672 and 74,594 is: 136,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,672 : 74,594 = 74,594 : x
  2. Step 2: Convert to fraction form
    40,672/74,594 = 74,594/x
  3. Step 3: Cross multiply
    40,672x = 74,594 × 74,594
  4. Step 4: Simplify right side
    40,672x = 5,564,264,836
  5. Step 5: Solve for x
    x = 5,564,264,836/40,672
  6. Step 6: Final answer
    x = 136,808.24

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.