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Finding the Third Proportional to 30,763.55 and 72,432.98

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Solution

The third proportional to 30,763.55 and 72,432.98 is: 170,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.55 : 72,432.98 = 72,432.98 : x
  2. Step 2: Convert to fraction form
    30,763.55/72,432.98 = 72,432.98/x
  3. Step 3: Cross multiply
    30,763.55x = 72,432.98 × 72,432.98
  4. Step 4: Simplify right side
    30,763.55x = 5,246,537,225.47
  5. Step 5: Solve for x
    x = 5,246,537,225.47/30,763.55
  6. Step 6: Final answer
    x = 170,543.96

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.