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Finding the Third Proportional to 42,482 and 74,008

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Solution

The third proportional to 42,482 and 74,008 is: 128,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,482 : 74,008 = 74,008 : x
  2. Step 2: Convert to fraction form
    42,482/74,008 = 74,008/x
  3. Step 3: Cross multiply
    42,482x = 74,008 × 74,008
  4. Step 4: Simplify right side
    42,482x = 5,477,184,064
  5. Step 5: Solve for x
    x = 5,477,184,064/42,482
  6. Step 6: Final answer
    x = 128,929.52

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.