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Finding the Third Proportional to 4,335.19 and 6,312.09

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Solution

The third proportional to 4,335.19 and 6,312.09 is: 9,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.19 : 6,312.09 = 6,312.09 : x
  2. Step 2: Convert to fraction form
    4,335.19/6,312.09 = 6,312.09/x
  3. Step 3: Cross multiply
    4,335.19x = 6,312.09 × 6,312.09
  4. Step 4: Simplify right side
    4,335.19x = 39,842,527.51
  5. Step 5: Solve for x
    x = 39,842,527.51/4,335.19
  6. Step 6: Final answer
    x = 9,190.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.