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Finding the Third Proportional to 34,464 and 74,430

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Solution

The third proportional to 34,464 and 74,430 is: 160,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,464 : 74,430 = 74,430 : x
  2. Step 2: Convert to fraction form
    34,464/74,430 = 74,430/x
  3. Step 3: Cross multiply
    34,464x = 74,430 × 74,430
  4. Step 4: Simplify right side
    34,464x = 5,539,824,900
  5. Step 5: Solve for x
    x = 5,539,824,900/34,464
  6. Step 6: Final answer
    x = 160,742.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.