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Finding the Third Proportional to 10,897.50 and 12,031.50

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Solution

The third proportional to 10,897.50 and 12,031.50 is: 13,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.50 : 12,031.50 = 12,031.50 : x
  2. Step 2: Convert to fraction form
    10,897.50/12,031.50 = 12,031.50/x
  3. Step 3: Cross multiply
    10,897.50x = 12,031.50 × 12,031.50
  4. Step 4: Simplify right side
    10,897.50x = 144,756,992.25
  5. Step 5: Solve for x
    x = 144,756,992.25/10,897.50
  6. Step 6: Final answer
    x = 13,283.50

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.