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Finding the Third Proportional to 30,397.04 and 48,559.92

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Solution

The third proportional to 30,397.04 and 48,559.92 is: 77,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.04 : 48,559.92 = 48,559.92 : x
  2. Step 2: Convert to fraction form
    30,397.04/48,559.92 = 48,559.92/x
  3. Step 3: Cross multiply
    30,397.04x = 48,559.92 × 48,559.92
  4. Step 4: Simplify right side
    30,397.04x = 2,358,066,012.51
  5. Step 5: Solve for x
    x = 2,358,066,012.51/30,397.04
  6. Step 6: Final answer
    x = 77,575.51

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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.