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Finding the Third Proportional to 10,297.13 and 27,901.34

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Solution

The third proportional to 10,297.13 and 27,901.34 is: 75,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.13 : 27,901.34 = 27,901.34 : x
  2. Step 2: Convert to fraction form
    10,297.13/27,901.34 = 27,901.34/x
  3. Step 3: Cross multiply
    10,297.13x = 27,901.34 × 27,901.34
  4. Step 4: Simplify right side
    10,297.13x = 778,484,547.10
  5. Step 5: Solve for x
    x = 778,484,547.10/10,297.13
  6. Step 6: Final answer
    x = 75,602.13

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.