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Finding the Third Proportional to 34,348 and 54,430

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Solution

The third proportional to 34,348 and 54,430 is: 86,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,348 : 54,430 = 54,430 : x
  2. Step 2: Convert to fraction form
    34,348/54,430 = 54,430/x
  3. Step 3: Cross multiply
    34,348x = 54,430 × 54,430
  4. Step 4: Simplify right side
    34,348x = 2,962,624,900
  5. Step 5: Solve for x
    x = 2,962,624,900/34,348
  6. Step 6: Final answer
    x = 86,253.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.