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Finding the Third Proportional to 30,397.15 and 48,560.34

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Solution

The third proportional to 30,397.15 and 48,560.34 is: 77,576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.15 : 48,560.34 = 48,560.34 : x
  2. Step 2: Convert to fraction form
    30,397.15/48,560.34 = 48,560.34/x
  3. Step 3: Cross multiply
    30,397.15x = 48,560.34 × 48,560.34
  4. Step 4: Simplify right side
    30,397.15x = 2,358,106,985.12
  5. Step 5: Solve for x
    x = 2,358,106,985.12/30,397.15
  6. Step 6: Final answer
    x = 77,576.59

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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.