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Finding the Third Proportional to 14,032.13 and 30,009.88

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Solution

The third proportional to 14,032.13 and 30,009.88 is: 64,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.13 : 30,009.88 = 30,009.88 : x
  2. Step 2: Convert to fraction form
    14,032.13/30,009.88 = 30,009.88/x
  3. Step 3: Cross multiply
    14,032.13x = 30,009.88 × 30,009.88
  4. Step 4: Simplify right side
    14,032.13x = 900,592,597.52
  5. Step 5: Solve for x
    x = 900,592,597.52/14,032.13
  6. Step 6: Final answer
    x = 64,180.77

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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.