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Finding the Third Proportional to 34,020 and 74,604

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Solution

The third proportional to 34,020 and 74,604 is: 163,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,020 : 74,604 = 74,604 : x
  2. Step 2: Convert to fraction form
    34,020/74,604 = 74,604/x
  3. Step 3: Cross multiply
    34,020x = 74,604 × 74,604
  4. Step 4: Simplify right side
    34,020x = 5,565,756,816
  5. Step 5: Solve for x
    x = 5,565,756,816/34,020
  6. Step 6: Final answer
    x = 163,602.49

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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.