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Finding the Third Proportional to 12,748 and 19,784

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Solution

The third proportional to 12,748 and 19,784 is: 30,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,748 : 19,784 = 19,784 : x
  2. Step 2: Convert to fraction form
    12,748/19,784 = 19,784/x
  3. Step 3: Cross multiply
    12,748x = 19,784 × 19,784
  4. Step 4: Simplify right side
    12,748x = 391,406,656
  5. Step 5: Solve for x
    x = 391,406,656/12,748
  6. Step 6: Final answer
    x = 30,703.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.