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Finding the Third Proportional to 4,875.19 and 7,705.76

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Solution

The third proportional to 4,875.19 and 7,705.76 is: 12,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.19 : 7,705.76 = 7,705.76 : x
  2. Step 2: Convert to fraction form
    4,875.19/7,705.76 = 7,705.76/x
  3. Step 3: Cross multiply
    4,875.19x = 7,705.76 × 7,705.76
  4. Step 4: Simplify right side
    4,875.19x = 59,378,703.46
  5. Step 5: Solve for x
    x = 59,378,703.46/4,875.19
  6. Step 6: Final answer
    x = 12,179.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.