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Finding the Third Proportional to 14,463 and 34,798.50

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Solution

The third proportional to 14,463 and 34,798.50 is: 83,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463 : 34,798.50 = 34,798.50 : x
  2. Step 2: Convert to fraction form
    14,463/34,798.50 = 34,798.50/x
  3. Step 3: Cross multiply
    14,463x = 34,798.50 × 34,798.50
  4. Step 4: Simplify right side
    14,463x = 1,210,935,602.25
  5. Step 5: Solve for x
    x = 1,210,935,602.25/14,463
  6. Step 6: Final answer
    x = 83,726.45

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.