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Finding the Third Proportional to 19,113.47 and 29,501.72

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Solution

The third proportional to 19,113.47 and 29,501.72 is: 45,536.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,113.47 : 29,501.72 = 29,501.72 : x
  2. Step 2: Convert to fraction form
    19,113.47/29,501.72 = 29,501.72/x
  3. Step 3: Cross multiply
    19,113.47x = 29,501.72 × 29,501.72
  4. Step 4: Simplify right side
    19,113.47x = 870,351,409.20
  5. Step 5: Solve for x
    x = 870,351,409.20/19,113.47
  6. Step 6: Final answer
    x = 45,536.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.