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Finding the Third Proportional to 13,762.13 and 24,592.50

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Solution

The third proportional to 13,762.13 and 24,592.50 is: 43,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.13 : 24,592.50 = 24,592.50 : x
  2. Step 2: Convert to fraction form
    13,762.13/24,592.50 = 24,592.50/x
  3. Step 3: Cross multiply
    13,762.13x = 24,592.50 × 24,592.50
  4. Step 4: Simplify right side
    13,762.13x = 604,791,056.25
  5. Step 5: Solve for x
    x = 604,791,056.25/13,762.13
  6. Step 6: Final answer
    x = 43,946.05

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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.