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Finding the Third Proportional to 14,344 and 15,784

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Solution

The third proportional to 14,344 and 15,784 is: 17,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344 : 15,784 = 15,784 : x
  2. Step 2: Convert to fraction form
    14,344/15,784 = 15,784/x
  3. Step 3: Cross multiply
    14,344x = 15,784 × 15,784
  4. Step 4: Simplify right side
    14,344x = 249,134,656
  5. Step 5: Solve for x
    x = 249,134,656/14,344
  6. Step 6: Final answer
    x = 17,368.56

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.