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Finding the Third Proportional to 12,258 and 17,887.50

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Solution

The third proportional to 12,258 and 17,887.50 is: 26,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,258 : 17,887.50 = 17,887.50 : x
  2. Step 2: Convert to fraction form
    12,258/17,887.50 = 17,887.50/x
  3. Step 3: Cross multiply
    12,258x = 17,887.50 × 17,887.50
  4. Step 4: Simplify right side
    12,258x = 319,962,656.25
  5. Step 5: Solve for x
    x = 319,962,656.25/12,258
  6. Step 6: Final answer
    x = 26,102.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.