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Finding the Third Proportional to 7,897.50 and 17,060

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Solution

The third proportional to 7,897.50 and 17,060 is: 36,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.50 : 17,060 = 17,060 : x
  2. Step 2: Convert to fraction form
    7,897.50/17,060 = 17,060/x
  3. Step 3: Cross multiply
    7,897.50x = 17,060 × 17,060
  4. Step 4: Simplify right side
    7,897.50x = 291,043,600
  5. Step 5: Solve for x
    x = 291,043,600/7,897.50
  6. Step 6: Final answer
    x = 36,852.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.