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Finding the Third Proportional to 2,904.61 and 6,262.00

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Solution

The third proportional to 2,904.61 and 6,262.00 is: 13,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.61 : 6,262.00 = 6,262.00 : x
  2. Step 2: Convert to fraction form
    2,904.61/6,262.00 = 6,262.00/x
  3. Step 3: Cross multiply
    2,904.61x = 6,262.00 × 6,262.00
  4. Step 4: Simplify right side
    2,904.61x = 39,212,595.08
  5. Step 5: Solve for x
    x = 39,212,595.08/2,904.61
  6. Step 6: Final answer
    x = 13,500.13

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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.