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Finding the Third Proportional to 30,402 and 48,566.81

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Solution

The third proportional to 30,402 and 48,566.81 is: 77,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402 : 48,566.81 = 48,566.81 : x
  2. Step 2: Convert to fraction form
    30,402/48,566.81 = 48,566.81/x
  3. Step 3: Cross multiply
    30,402x = 48,566.81 × 48,566.81
  4. Step 4: Simplify right side
    30,402x = 2,358,735,276.41
  5. Step 5: Solve for x
    x = 2,358,735,276.41/30,402
  6. Step 6: Final answer
    x = 77,584.87

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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.