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Finding the Third Proportional to 6,521.13 and 9,869.98

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Solution

The third proportional to 6,521.13 and 9,869.98 is: 14,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.13 : 9,869.98 = 9,869.98 : x
  2. Step 2: Convert to fraction form
    6,521.13/9,869.98 = 9,869.98/x
  3. Step 3: Cross multiply
    6,521.13x = 9,869.98 × 9,869.98
  4. Step 4: Simplify right side
    6,521.13x = 97,416,437.34
  5. Step 5: Solve for x
    x = 97,416,437.34/6,521.13
  6. Step 6: Final answer
    x = 14,938.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.