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Finding the Third Proportional to 10,376.86 and 16,468.95

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Solution

The third proportional to 10,376.86 and 16,468.95 is: 26,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.86 : 16,468.95 = 16,468.95 : x
  2. Step 2: Convert to fraction form
    10,376.86/16,468.95 = 16,468.95/x
  3. Step 3: Cross multiply
    10,376.86x = 16,468.95 × 16,468.95
  4. Step 4: Simplify right side
    10,376.86x = 271,226,159.71
  5. Step 5: Solve for x
    x = 271,226,159.71/10,376.86
  6. Step 6: Final answer
    x = 26,137.60

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.