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Finding the Third Proportional to 6,575.63 and 14,209.88

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Solution

The third proportional to 6,575.63 and 14,209.88 is: 30,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.63 : 14,209.88 = 14,209.88 : x
  2. Step 2: Convert to fraction form
    6,575.63/14,209.88 = 14,209.88/x
  3. Step 3: Cross multiply
    6,575.63x = 14,209.88 × 14,209.88
  4. Step 4: Simplify right side
    6,575.63x = 201,920,547.52
  5. Step 5: Solve for x
    x = 201,920,547.52/6,575.63
  6. Step 6: Final answer
    x = 30,707.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.