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Finding the Third Proportional to 7,030.13 and 14,953.78

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Solution

The third proportional to 7,030.13 and 14,953.78 is: 31,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.13 : 14,953.78 = 14,953.78 : x
  2. Step 2: Convert to fraction form
    7,030.13/14,953.78 = 14,953.78/x
  3. Step 3: Cross multiply
    7,030.13x = 14,953.78 × 14,953.78
  4. Step 4: Simplify right side
    7,030.13x = 223,615,573.67
  5. Step 5: Solve for x
    x = 223,615,573.67/7,030.13
  6. Step 6: Final answer
    x = 31,808.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.