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Finding the Third Proportional to 12,848.63 and 28,465.17

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Solution

The third proportional to 12,848.63 and 28,465.17 is: 63,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848.63 : 28,465.17 = 28,465.17 : x
  2. Step 2: Convert to fraction form
    12,848.63/28,465.17 = 28,465.17/x
  3. Step 3: Cross multiply
    12,848.63x = 28,465.17 × 28,465.17
  4. Step 4: Simplify right side
    12,848.63x = 810,266,009.87
  5. Step 5: Solve for x
    x = 810,266,009.87/12,848.63
  6. Step 6: Final answer
    x = 63,062.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.