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Finding the Third Proportional to 4,875.90 and 10,636.00

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Solution

The third proportional to 4,875.90 and 10,636.00 is: 23,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.90 : 10,636.00 = 10,636.00 : x
  2. Step 2: Convert to fraction form
    4,875.90/10,636.00 = 10,636.00/x
  3. Step 3: Cross multiply
    4,875.90x = 10,636.00 × 10,636.00
  4. Step 4: Simplify right side
    4,875.90x = 113,124,412.91
  5. Step 5: Solve for x
    x = 113,124,412.91/4,875.90
  6. Step 6: Final answer
    x = 23,200.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.