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Finding the Third Proportional to 9,297 and 13,315.50

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Solution

The third proportional to 9,297 and 13,315.50 is: 19,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297 : 13,315.50 = 13,315.50 : x
  2. Step 2: Convert to fraction form
    9,297/13,315.50 = 13,315.50/x
  3. Step 3: Cross multiply
    9,297x = 13,315.50 × 13,315.50
  4. Step 4: Simplify right side
    9,297x = 177,302,540.25
  5. Step 5: Solve for x
    x = 177,302,540.25/9,297
  6. Step 6: Final answer
    x = 19,070.94

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.