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Finding the Third Proportional to 30,547.13 and 65,255.63

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Solution

The third proportional to 30,547.13 and 65,255.63 is: 139,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.13 : 65,255.63 = 65,255.63 : x
  2. Step 2: Convert to fraction form
    30,547.13/65,255.63 = 65,255.63/x
  3. Step 3: Cross multiply
    30,547.13x = 65,255.63 × 65,255.63
  4. Step 4: Simplify right side
    30,547.13x = 4,258,296,594.14
  5. Step 5: Solve for x
    x = 4,258,296,594.14/30,547.13
  6. Step 6: Final answer
    x = 139,400.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.