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Finding the Third Proportional to 12,307.50 and 14,953.50

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Solution

The third proportional to 12,307.50 and 14,953.50 is: 18,168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.50 : 14,953.50 = 14,953.50 : x
  2. Step 2: Convert to fraction form
    12,307.50/14,953.50 = 14,953.50/x
  3. Step 3: Cross multiply
    12,307.50x = 14,953.50 × 14,953.50
  4. Step 4: Simplify right side
    12,307.50x = 223,607,162.25
  5. Step 5: Solve for x
    x = 223,607,162.25/12,307.50
  6. Step 6: Final answer
    x = 18,168.37

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.