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Finding the Third Proportional to 30,475.13 and 48,664.69

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Solution

The third proportional to 30,475.13 and 48,664.69 is: 77,710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.13 : 48,664.69 = 48,664.69 : x
  2. Step 2: Convert to fraction form
    30,475.13/48,664.69 = 48,664.69/x
  3. Step 3: Cross multiply
    30,475.13x = 48,664.69 × 48,664.69
  4. Step 4: Simplify right side
    30,475.13x = 2,368,251,809.47
  5. Step 5: Solve for x
    x = 2,368,251,809.47/30,475.13
  6. Step 6: Final answer
    x = 77,710.98

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.