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Finding the Third Proportional to 51,663.66 and 77,875.59

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Solution

The third proportional to 51,663.66 and 77,875.59 is: 117,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,663.66 : 77,875.59 = 77,875.59 : x
  2. Step 2: Convert to fraction form
    51,663.66/77,875.59 = 77,875.59/x
  3. Step 3: Cross multiply
    51,663.66x = 77,875.59 × 77,875.59
  4. Step 4: Simplify right side
    51,663.66x = 6,064,608,101.92
  5. Step 5: Solve for x
    x = 6,064,608,101.92/51,663.66
  6. Step 6: Final answer
    x = 117,386.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.