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Finding the Third Proportional to 12,453 and 19,281.50

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Solution

The third proportional to 12,453 and 19,281.50 is: 29,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453 : 19,281.50 = 19,281.50 : x
  2. Step 2: Convert to fraction form
    12,453/19,281.50 = 19,281.50/x
  3. Step 3: Cross multiply
    12,453x = 19,281.50 × 19,281.50
  4. Step 4: Simplify right side
    12,453x = 371,776,242.25
  5. Step 5: Solve for x
    x = 371,776,242.25/12,453
  6. Step 6: Final answer
    x = 29,854.35

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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.