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Finding the Third Proportional to 9,303.29 and 14,038.95

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Solution

The third proportional to 9,303.29 and 14,038.95 is: 21,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.29 : 14,038.95 = 14,038.95 : x
  2. Step 2: Convert to fraction form
    9,303.29/14,038.95 = 14,038.95/x
  3. Step 3: Cross multiply
    9,303.29x = 14,038.95 × 14,038.95
  4. Step 4: Simplify right side
    9,303.29x = 197,091,985.49
  5. Step 5: Solve for x
    x = 197,091,985.49/9,303.29
  6. Step 6: Final answer
    x = 21,185.19

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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.