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Finding the Third Proportional to 35,548 and 77,792

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Solution

The third proportional to 35,548 and 77,792 is: 170,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,548 : 77,792 = 77,792 : x
  2. Step 2: Convert to fraction form
    35,548/77,792 = 77,792/x
  3. Step 3: Cross multiply
    35,548x = 77,792 × 77,792
  4. Step 4: Simplify right side
    35,548x = 6,051,595,264
  5. Step 5: Solve for x
    x = 6,051,595,264/35,548
  6. Step 6: Final answer
    x = 170,237.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.