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Finding the Third Proportional to 4,901.34 and 7,397.58

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Solution

The third proportional to 4,901.34 and 7,397.58 is: 11,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.34 : 7,397.58 = 7,397.58 : x
  2. Step 2: Convert to fraction form
    4,901.34/7,397.58 = 7,397.58/x
  3. Step 3: Cross multiply
    4,901.34x = 7,397.58 × 7,397.58
  4. Step 4: Simplify right side
    4,901.34x = 54,724,162.12
  5. Step 5: Solve for x
    x = 54,724,162.12/4,901.34
  6. Step 6: Final answer
    x = 11,165.13

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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.