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Finding the Third Proportional to 30,259.13 and 64,117.69

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Solution

The third proportional to 30,259.13 and 64,117.69 is: 135,862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.13 : 64,117.69 = 64,117.69 : x
  2. Step 2: Convert to fraction form
    30,259.13/64,117.69 = 64,117.69/x
  3. Step 3: Cross multiply
    30,259.13x = 64,117.69 × 64,117.69
  4. Step 4: Simplify right side
    30,259.13x = 4,111,077,850.35
  5. Step 5: Solve for x
    x = 4,111,077,850.35/30,259.13
  6. Step 6: Final answer
    x = 135,862.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.