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Finding the Third Proportional to 9,857.95 and 14,890.08

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Solution

The third proportional to 9,857.95 and 14,890.08 is: 22,490.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.95 : 14,890.08 = 14,890.08 : x
  2. Step 2: Convert to fraction form
    9,857.95/14,890.08 = 14,890.08/x
  3. Step 3: Cross multiply
    9,857.95x = 14,890.08 × 14,890.08
  4. Step 4: Simplify right side
    9,857.95x = 221,714,426.57
  5. Step 5: Solve for x
    x = 221,714,426.57/9,857.95
  6. Step 6: Final answer
    x = 22,490.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.