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Finding the Third Proportional to 12,465 and 19,306.50

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Solution

The third proportional to 12,465 and 19,306.50 is: 29,903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465 : 19,306.50 = 19,306.50 : x
  2. Step 2: Convert to fraction form
    12,465/19,306.50 = 19,306.50/x
  3. Step 3: Cross multiply
    12,465x = 19,306.50 × 19,306.50
  4. Step 4: Simplify right side
    12,465x = 372,740,942.25
  5. Step 5: Solve for x
    x = 372,740,942.25/12,465
  6. Step 6: Final answer
    x = 29,903.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.