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Finding the Third Proportional to 4,705.13 and 7,058.06

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Solution

The third proportional to 4,705.13 and 7,058.06 is: 10,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.13 : 7,058.06 = 7,058.06 : x
  2. Step 2: Convert to fraction form
    4,705.13/7,058.06 = 7,058.06/x
  3. Step 3: Cross multiply
    4,705.13x = 7,058.06 × 7,058.06
  4. Step 4: Simplify right side
    4,705.13x = 49,816,246.25
  5. Step 5: Solve for x
    x = 49,816,246.25/4,705.13
  6. Step 6: Final answer
    x = 10,587.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.