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Finding the Third Proportional to 17,312.06 and 38,031.19

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Solution

The third proportional to 17,312.06 and 38,031.19 is: 83,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,312.06 : 38,031.19 = 38,031.19 : x
  2. Step 2: Convert to fraction form
    17,312.06/38,031.19 = 38,031.19/x
  3. Step 3: Cross multiply
    17,312.06x = 38,031.19 × 38,031.19
  4. Step 4: Simplify right side
    17,312.06x = 1,446,371,222.66
  5. Step 5: Solve for x
    x = 1,446,371,222.66/17,312.06
  6. Step 6: Final answer
    x = 83,547.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.