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Finding the Third Proportional to 7,009.03 and 14,990.06

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Solution

The third proportional to 7,009.03 and 14,990.06 is: 32,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.03 : 14,990.06 = 14,990.06 : x
  2. Step 2: Convert to fraction form
    7,009.03/14,990.06 = 14,990.06/x
  3. Step 3: Cross multiply
    7,009.03x = 14,990.06 × 14,990.06
  4. Step 4: Simplify right side
    7,009.03x = 224,701,973.75
  5. Step 5: Solve for x
    x = 224,701,973.75/7,009.03
  6. Step 6: Final answer
    x = 32,058.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.