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Finding the Third Proportional to 7,657.03 and 12,032.93

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Solution

The third proportional to 7,657.03 and 12,032.93 is: 18,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.03 : 12,032.93 = 12,032.93 : x
  2. Step 2: Convert to fraction form
    7,657.03/12,032.93 = 12,032.93/x
  3. Step 3: Cross multiply
    7,657.03x = 12,032.93 × 12,032.93
  4. Step 4: Simplify right side
    7,657.03x = 144,791,396.86
  5. Step 5: Solve for x
    x = 144,791,396.86/7,657.03
  6. Step 6: Final answer
    x = 18,909.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.