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Finding the Third Proportional to 37,656 and 78,430

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Solution

The third proportional to 37,656 and 78,430 is: 163,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,656 : 78,430 = 78,430 : x
  2. Step 2: Convert to fraction form
    37,656/78,430 = 78,430/x
  3. Step 3: Cross multiply
    37,656x = 78,430 × 78,430
  4. Step 4: Simplify right side
    37,656x = 6,151,264,900
  5. Step 5: Solve for x
    x = 6,151,264,900/37,656
  6. Step 6: Final answer
    x = 163,354.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.