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Finding the Third Proportional to 46,688 and 70,896

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Solution

The third proportional to 46,688 and 70,896 is: 107,655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,688 : 70,896 = 70,896 : x
  2. Step 2: Convert to fraction form
    46,688/70,896 = 70,896/x
  3. Step 3: Cross multiply
    46,688x = 70,896 × 70,896
  4. Step 4: Simplify right side
    46,688x = 5,026,242,816
  5. Step 5: Solve for x
    x = 5,026,242,816/46,688
  6. Step 6: Final answer
    x = 107,655.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.