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Finding the Third Proportional to 9,870.19 and 13,295.81

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Solution

The third proportional to 9,870.19 and 13,295.81 is: 17,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.19 : 13,295.81 = 13,295.81 : x
  2. Step 2: Convert to fraction form
    9,870.19/13,295.81 = 13,295.81/x
  3. Step 3: Cross multiply
    9,870.19x = 13,295.81 × 13,295.81
  4. Step 4: Simplify right side
    9,870.19x = 176,778,630.04
  5. Step 5: Solve for x
    x = 176,778,630.04/9,870.19
  6. Step 6: Final answer
    x = 17,910.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.