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Finding the Third Proportional to 34,526 and 52,060

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Solution

The third proportional to 34,526 and 52,060 is: 78,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,526 : 52,060 = 52,060 : x
  2. Step 2: Convert to fraction form
    34,526/52,060 = 52,060/x
  3. Step 3: Cross multiply
    34,526x = 52,060 × 52,060
  4. Step 4: Simplify right side
    34,526x = 2,710,243,600
  5. Step 5: Solve for x
    x = 2,710,243,600/34,526
  6. Step 6: Final answer
    x = 78,498.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.