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Finding the Third Proportional to 9,284.63 and 14,468.63

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Solution

The third proportional to 9,284.63 and 14,468.63 is: 22,547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.63 : 14,468.63 = 14,468.63 : x
  2. Step 2: Convert to fraction form
    9,284.63/14,468.63 = 14,468.63/x
  3. Step 3: Cross multiply
    9,284.63x = 14,468.63 × 14,468.63
  4. Step 4: Simplify right side
    9,284.63x = 209,341,109.39
  5. Step 5: Solve for x
    x = 209,341,109.39/9,284.63
  6. Step 6: Final answer
    x = 22,547.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.