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Finding the Third Proportional to 30,052.69 and 64,275.19

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Solution

The third proportional to 30,052.69 and 64,275.19 is: 137,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,052.69 : 64,275.19 = 64,275.19 : x
  2. Step 2: Convert to fraction form
    30,052.69/64,275.19 = 64,275.19/x
  3. Step 3: Cross multiply
    30,052.69x = 64,275.19 × 64,275.19
  4. Step 4: Simplify right side
    30,052.69x = 4,131,299,728.16
  5. Step 5: Solve for x
    x = 4,131,299,728.16/30,052.69
  6. Step 6: Final answer
    x = 137,468.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.