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Finding the Third Proportional to 2,088.76 and 4,503.57

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Solution

The third proportional to 2,088.76 and 4,503.57 is: 9,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.76 : 4,503.57 = 4,503.57 : x
  2. Step 2: Convert to fraction form
    2,088.76/4,503.57 = 4,503.57/x
  3. Step 3: Cross multiply
    2,088.76x = 4,503.57 × 4,503.57
  4. Step 4: Simplify right side
    2,088.76x = 20,282,127.97
  5. Step 5: Solve for x
    x = 20,282,127.97/2,088.76
  6. Step 6: Final answer
    x = 9,710.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.