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Finding the Third Proportional to 30,573.19 and 45,719.13

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Solution

The third proportional to 30,573.19 and 45,719.13 is: 68,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,573.19 : 45,719.13 = 45,719.13 : x
  2. Step 2: Convert to fraction form
    30,573.19/45,719.13 = 45,719.13/x
  3. Step 3: Cross multiply
    30,573.19x = 45,719.13 × 45,719.13
  4. Step 4: Simplify right side
    30,573.19x = 2,090,238,390.77
  5. Step 5: Solve for x
    x = 2,090,238,390.77/30,573.19
  6. Step 6: Final answer
    x = 68,368.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.