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Finding the Third Proportional to 30,400.52 and 48,564.56

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Solution

The third proportional to 30,400.52 and 48,564.56 is: 77,581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.52 : 48,564.56 = 48,564.56 : x
  2. Step 2: Convert to fraction form
    30,400.52/48,564.56 = 48,564.56/x
  3. Step 3: Cross multiply
    30,400.52x = 48,564.56 × 48,564.56
  4. Step 4: Simplify right side
    30,400.52x = 2,358,516,730.82
  5. Step 5: Solve for x
    x = 2,358,516,730.82/30,400.52
  6. Step 6: Final answer
    x = 77,581.45

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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.