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Finding the Third Proportional to 9,114.19 and 14,320.13

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Solution

The third proportional to 9,114.19 and 14,320.13 is: 22,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.19 : 14,320.13 = 14,320.13 : x
  2. Step 2: Convert to fraction form
    9,114.19/14,320.13 = 14,320.13/x
  3. Step 3: Cross multiply
    9,114.19x = 14,320.13 × 14,320.13
  4. Step 4: Simplify right side
    9,114.19x = 205,065,980.02
  5. Step 5: Solve for x
    x = 205,065,980.02/9,114.19
  6. Step 6: Final answer
    x = 22,499.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.