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Finding the Third Proportional to 4,070 and 4,598

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Solution

The third proportional to 4,070 and 4,598 is: 5,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070 : 4,598 = 4,598 : x
  2. Step 2: Convert to fraction form
    4,070/4,598 = 4,598/x
  3. Step 3: Cross multiply
    4,070x = 4,598 × 4,598
  4. Step 4: Simplify right side
    4,070x = 21,141,604
  5. Step 5: Solve for x
    x = 21,141,604/4,070
  6. Step 6: Final answer
    x = 5,194.50

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.